There is a clear distinction between the time sig that music is PLAYED in vs. the time sig that it is NOTATED in. This has been true, literally since the Middle Ages (more on that below). 
So if a style is played in 12/8, it can either be notated in 4/4 or 12/8, and this is a standard convention, not something that BiaB thought up. 
For example, traditional jazz music is written in 4/4 but played in 12/8. Such music may be annotated "with a swing" or similar, but the swing also may be assumed. The last sentence in bold is a direct quote from Wikipedia, and illustrates my point.   
https://en.m.wikipedia.org/wiki/Swing_(jazz_performance_style) Any music that is played in a triplet feel (3 divisions per note), is considered compound time. This is found in all BiaB styles that are jazz swing, shuffle, irish jig, or any style with a triplet (compound, 12/8) feel. There are about 1,300 BiaB styles  like this that are played in 12/8, but notated in 4/4. For any triplet feel 4/4 style, the composer can notate it in 12/8 or 4/4 as a personal choice. For example, jazz swing music would be a candidate to be wriitten in 12/8, since it is a compound (triplet) feel style. Instead, the notation gets a marking at the beginning that (8th notes get played as triplets, with the first one twice as LONG and the second one SHORT). Irish jigs have the same feel as jazz swing, but since the melodies have more triplets, (and it is the melody that gets notated), the tradition is that this gets notated in 12/8 for Irish jigs. But this has nothing to do with how they are played. It is more like a decision to use double spacing vs single spacing for a speech you're writing out (it will sound the same when read out loud).
The idea of using a 4/4 time signature to display a triplet feel 4/4 style, instead of using  12/8 has been going on since the Middle Ages. This is called "Notes inégales".  Most of the time it refers to playing two 8th notes in a triplet feel, with the first one LONG and the second one SHORT. And this convention allows the music to be written in 4/4 instead of 12/8, This started with early noation of Gregorian chants, and then baroque music.  
and it reappeared as the standard performance practice in the 20th century in jazz.  The last sentence in bold is a direct quote from Wikipedia, and you can read about it   
https://en.m.wikipedia.org/wiki/Notes_in%C3%A9gales  Anyway, the point for BiaB is, there is no requirement to notate triplet feels in 12/8, and considering a Irish Jig to be in 4/4 ((instead of 6/8) is no harder than considering a jazz tune like Alexander's Rag Time Band to be in 4/4 (instead of 12/8).
So, in repsonse to the original poster. There are 1,320 styles in Band-in-a-Box that are triplet feel eighth note styles, which make then 12/8 playing styles. And there are 93 styles that have guitar and have also been marked by us as 12/8 (see those below)
It really depends how "triplet-y" you want, and if you're looking for some really triplet-y ones, you could use the text filter and type in 12/8 guitar . If you do that, here's a list of 93 of the 1,320 Swing 8ths styles that have been flagged to work well with 12/8 and all have guitar. I've included links to the demos, so you can listen for yourself.
93 12/8 guitar styles , that are found using a text filter of 12/8 guitar in stylepicker for BiaB 2016
Name	Long Name	Tempo	Demo URL
RealStyles (all RealInstruments, no MIDI)
_128P50S	50's 12/8 Pop	85	
http://demos.pgmusic.com/audio/allstyledemos2/_128P50S.m4a_SPOP128	12/8 Soul Pop	85	
http://demos.pgmusic.com/audio/allstyledemos2/_SPOP128.m4a_SPTRIO1	12/8 Soul Pop Trio	85	
http://demos.pgmusic.com/audio/allstyledemos2/_SPTRIO1.m4a_TBLZBSS	Slow 12/8 Bari Sax Solo Blues	60	
http://demos.pgmusic.com/audio/allstyledemos2/_TBLZBSS.m4a_TBLZSEV	Slow 12/8 Blues w/ Vintage Piano	85	
http://demos.pgmusic.com/audio/allstyledemos2/_TBLZSEV.m4a_BLZ12PA	Bluesy Acoustic Piano 12/8 w/ Band	60	
http://demos.pgmusic.com/audio/allstyledemos2/_BLZ12PA.m4a_MANS128	Mandolin Solo 12/8 Country Swing	65	
http://demos.pgmusic.com/audio/allstyledemos2/_MANS128.m4a_BMCS128	Country 12/8 Piano w/ Guitar Solo	65	
http://demos.pgmusic.com/audio/allstyledemos2/_BMCS128.m4a_RESS128	Resonator Solo & Piano 12/8	65	
http://demos.pgmusic.com/audio/allstyledemos2/_RESS128.m4a_PNOC128	Acoustic Piano 12/8 Country	65	
http://demos.pgmusic.com/audio/allstyledemos2/_PNOC128.m4a_GUITBLZ	Country Blues 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_GUITBLZ.m4a_BLZ_MNH	Laid Back Blues 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_BLZ_MNH.m4a_TBLZSLT	Texas Blues 12/8 w/ Trading Solos	60	
http://demos.pgmusic.com/audio/allstyledemos2/_TBLZSLT.m4a_TBLZSLS	Texas Blues 12/8 w/ Guitar Solo	60	
http://demos.pgmusic.com/audio/allstyledemos2/_TBLZSLS.m4a_TBLZSLR	Texas Blues 12/8	60	
http://demos.pgmusic.com/audio/allstyledemos2/_TBLZSLR.m4a_TBLZSLP	Texas Blues 12/8 w/ Piano Solo	60	
http://demos.pgmusic.com/audio/allstyledemos2/_TBLZSLP.m4a_TBLZSLB	Texas Blues 12/8 w/ Brent	60	
http://demos.pgmusic.com/audio/allstyledemos2/_TBLZSLB.m4a_TBLRKSL	Blues Rock 12/8 w/ Alto Solo	60	
http://demos.pgmusic.com/audio/allstyledemos2/_TBLRKSL.m4a_CMPFBHF	Campfire, Hank Fingerpicked	65	
http://demos.pgmusic.com/audio/allstyledemos2/_CMPFBHF.m4a_CMPFBH3	Campfire, Hank w/ Bass	65	
http://demos.pgmusic.com/audio/allstyledemos2/_CMPFBH3.m4a_CMPFBH2	Campfire, Hank	65	
http://demos.pgmusic.com/audio/allstyledemos2/_CMPFBH2.m4a_MONDOR	Slow Swing Blues w/ Organ 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_MONDOR.m4a_CJIGBZK	Celtic Jig w/ Band	110	
http://demos.pgmusic.com/audio/allstyledemos2/_CJIGBZK.m4a_FPBTACS	Acoustic Folk w/ 2 Fingerpicked Guitars	65	
http://demos.pgmusic.com/audio/allstyledemos2/_FPBTACS.m4a_FPBNTSS	Slow Swing Country w/ 2 Fingerpicked Guitars 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_FPBNTSS.m4a_PSSO128	12/8 Country Ballad w/ Pedal Steel Solo	65	
http://demos.pgmusic.com/audio/allstyledemos2/_PSSO128.m4a_P128PNS	Slow Pop 12/8 w/ Piano Solo 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_P128PNS.m4a_C128PNS	Slow Country 12/8 w/ Piano Solo	65	
http://demos.pgmusic.com/audio/allstyledemos2/_C128PNS.m4a_CT128BR	Country 12/8 Brent Electric Guitar Solo	65	
http://demos.pgmusic.com/audio/allstyledemos2/_CT128BR.m4a_POPPNOS	Pop Piano 12/8 Ballad 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_POPPNOS.m4a_MONDAY	Slow Swing 8ths Blues 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_MONDAY.m4a_CRYSTAL	Country 12/8 Ballad w/ Pedal Steel 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_CRYSTAL.m4a_ElBlz1	[RT n/a] Slow Electric Blues 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_ElBlz1.m4a_AcBlz2	[RT n/a] Slow Blues 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_AcBlz2.m4a_AcBlz1	Sparse Blues 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_AcBlz1.m4a_SLOBLZ1	Slow and Gritty Blues 	65	
http://demos.pgmusic.com/audio/allstyledemos2/_SLOBLZ1.m4aStyles with Some MIDI in them
M_S128BL	Slow 12/8 Blues MIDI Piano	85	
http://demos.pgmusic.com/audio/allstyledemos2/M_S128BL.m4aM_BLZ128	Slow 12/8 Bluesy Band w/ Piano	60	
http://demos.pgmusic.com/audio/allstyledemos2/M_BLZ128.m4aM_PNC128	12/8 Country w/ MIDI Piano	65	
http://demos.pgmusic.com/audio/allstyledemos2/M_PNC128.m4aM_TBLSLP	Solo Texas Blues Rock 12/8 MIDI	60	
http://demos.pgmusic.com/audio/allstyledemos2/M_TBLSLP.m4aM_C128PN	Slow Country 12/8 w/ Piano Solo	65	
http://demos.pgmusic.com/audio/allstyledemos2/M_C128PN.m4aStyles with Some/All MIDI in them
=AG_BESS	Blues Gospel w/ Organ 	62	
http://demos.pgmusic.com/audio/allstyledemos2/=AG_BESS.m4a=PED128B	Slow Country Ballad 	65	
http://demos.pgmusic.com/audio/allstyledemos2/=PED128B.m4a=CR128_B	12/8 Country Ballad 	65	
http://demos.pgmusic.com/audio/allstyledemos2/=CR128_B.m4a=BGPOP_B	Country Swing Ballad 	85	
http://demos.pgmusic.com/audio/allstyledemos2/=BGPOP_B.m4a=SWBA_TB	Soul Ballad w/ Trombone 	85	
http://demos.pgmusic.com/audio/allstyledemos2/=SWBA_TB.m4a=FLK12_T	Blues 12/8 w/ Trumpet 	75	
http://demos.pgmusic.com/audio/allstyledemos2/=FLK12_T.m4a=CAR_BAS	Carey 12/8 w/ Alto Sax 	70	
http://demos.pgmusic.com/audio/allstyledemos2/=CAR_BAS.m4a=LA_PB_B	LA Pop Ballad w/ Acoustic Bass 	90	
http://demos.pgmusic.com/audio/allstyledemos2/=LA_PB_B.m4a=CNT_OTB	Old Country w/ Trombone 	130	
http://demos.pgmusic.com/audio/allstyledemos2/=CNT_OTB.m4aAG_BESS	AG_BESS - Bluesy 12/8 Gospel	62	
http://demos.pgmusic.com/audio/allstyledemos2/AG_BESS.m4aTEXASBL	Texas Blues - 12/8 Slow Blues	55	
http://demos.pgmusic.com/audio/allstyledemos2/TEXASBL.m4a-CS128^4	Country Shuffle 128	62	http://demos.pgmusic.com/audio/allstyledemos2/-CS128^4.m4a
-CS128^5	Country Shuffle 128	62	http://demos.pgmusic.com/audio/allstyledemos2/-CS128^5.m4a
-CS128^6	Country Shuffle 128	62	http://demos.pgmusic.com/audio/allstyledemos2/-CS128^6.m4a
NR_NORJ+	NORJ 12/8 Nashville Rock +	65	
http://demos.pgmusic.com/audio/allstyledemos2/NR_NORJ+.m4aBuddyG	BuddyG - Raucous 12/8 Blues	95	
http://demos.pgmusic.com/audio/allstyledemos2/BuddyG.m4a-CS128^2	Country Shuffle 128	70	http://demos.pgmusic.com/audio/allstyledemos2/-CS128^2.m4a
-CS128^1	Country Shuffle 128	70	http://demos.pgmusic.com/audio/allstyledemos2/-CS128^1.m4a
-CLTJG^2	Celtic Jig	125	http://demos.pgmusic.com/audio/allstyledemos2/-CLTJG^2.m4a
-CLTJG^1	Celtic Jig	125	http://demos.pgmusic.com/audio/allstyledemos2/-CLTJG^1.m4a
-CLTJG^4	Celtic Jig	120	http://demos.pgmusic.com/audio/allstyledemos2/-CLTJG^4.m4a
-PO128^7	Pop128-7-Brushes Style	80	http://demos.pgmusic.com/audio/allstyledemos2/-PO128^7.m4a
-PO128^6	Pop128-6-SideStick, Snare Style	80	http://demos.pgmusic.com/audio/allstyledemos2/-PO128^6.m4a
-PO128^5	Pop128-5-Brushes, Snare Style	80	http://demos.pgmusic.com/audio/allstyledemos2/-PO128^5.m4a
-PO128^4	Pop128-4-Brushes, SideStick Style	80	http://demos.pgmusic.com/audio/allstyledemos2/-PO128^4.m4a
-PO128^3	Pop128-3-Brushes, Ride Style	80	http://demos.pgmusic.com/audio/allstyledemos2/-PO128^3.m4a
-PO128^2	Pop128-2-Snare, Ride Style	80	http://demos.pgmusic.com/audio/allstyledemos2/-PO128^2.m4a
-PO128^1	Pop128-1-SideStick, Ride Style	80	http://demos.pgmusic.com/audio/allstyledemos2/-PO128^1.m4a
BEEBSLO	BeeB Slow - Slow 12/8 Blues	65	
http://demos.pgmusic.com/audio/allstyledemos2/BEEBSLO.m4aIslands	Islands - Slow 12/8 60's Pop	70	
http://demos.pgmusic.com/audio/allstyledemos2/Islands.m4aPsyk128	Psyk 12/8 - Slow 12/8 Pop/Rock	50	
http://demos.pgmusic.com/audio/allstyledemos2/Psyk128.m4a-PERCY~	Percy-Slow 12/8 50s Pop	65	http://demos.pgmusic.com/audio/allstyledemos2/-PERCY~.m4a
-MudySlo	Mudy Slow Slow Blues	65	
http://demos.pgmusic.com/audio/allstyledemos2/-MudySlo.m4a-C_CONWY	Conway-Classic 50s 12/8 Country	80	
http://demos.pgmusic.com/audio/allstyledemos2/-C_CONWY.m4aOreg1	Oreg 1 - 12/8 Ambient World Beat	105	
http://demos.pgmusic.com/audio/allstyledemos2/Oreg1.m4aGloria	Gloria - Brit 80s Rock Shuffle	110	
http://demos.pgmusic.com/audio/allstyledemos2/Gloria.m4a12_8Surf	12/8 Surf - Slow 12/8 - 60s Pop	70	
http://demos.pgmusic.com/audio/allstyledemos2/12_8Surf.m4aFOLK12_8	Folk 12/8 - 60s Folk Groups	75	
http://demos.pgmusic.com/audio/allstyledemos2/FOLK12_8.m4aTarentla	Tarentella - World Styles - Italy	140	
http://demos.pgmusic.com/audio/allstyledemos2/Tarentla.m4a128Rok1	12/8 Power Rock Ballad 	70	
http://demos.pgmusic.com/audio/allstyledemos2/128Rok1.m4a128Rok2	12/8 Loud Rock Feel	65	
http://demos.pgmusic.com/audio/allstyledemos2/128Rok2.m4aPADDY	Paddy - Celtic Jig - World Styles	120	
http://demos.pgmusic.com/audio/allstyledemos2/PADDY.m4aCelt_JIG	Celtic Jig Style - World Styles	120	
http://demos.pgmusic.com/audio/allstyledemos2/Celt_JIG.m4aC_CONWAY	Conway - Classic 50s 12/8 Country	80	
http://demos.pgmusic.com/audio/allstyledemos2/C_CONWAY.m4aJ!SATCH	Vintage Jazz - Satch Slow 12/8 Pop	80	http://demos.pgmusic.com/audio/allstyledemos2/J!SATCH.m4a
PERCY!~	Percy - Slow 12/8 50s Pop	65	http://demos.pgmusic.com/audio/allstyledemos2/PERCY!~.m4a
CAREY128	Carey 12/8 - Top 40 12/8	70	
http://demos.pgmusic.com/audio/allstyledemos2/CAREY128.m4aCELTIC2	Celtic 2 - Contemporary Celtic	125	
http://demos.pgmusic.com/audio/allstyledemos2/CELTIC2.m4aCELTIC1	Celtic 1 - Contemporary Celtic	125	
http://demos.pgmusic.com/audio/allstyledemos2/CELTIC1.m4aKILARNEY	Irish-Shotiche 12/8 Style	110	
http://demos.pgmusic.com/audio/allstyledemos2/KILARNEY.m4aZ4COUN12	Country 12/8 Feel	120	
http://demos.pgmusic.com/audio/allstyledemos2/Z4COUN12.m4aREGGAE_2	Reggae 2	165	
http://demos.pgmusic.com/audio/allstyledemos2/REGGAE_2.m4a