I do exactly what you want to do with a MIDI guitar controller, a wind controller and a keyboard controller. The process is simple just input the chords into BiaB. Pick your style; I would use MIDI styles to start with as some RTs do not have MIDI transcripts. Then record your MIDI. Then save your file as either a MIDI file or a XML file. If you just want your lead and chord IDs then you can print everything out in BiaB. If you want a full score then get the free Musescore2:
https://musescore.org/If you want to input more that one guitar part then you would use a DAW. BiaB come with a DAW called RealBand, as previously mentioned.
RTs are audio files and audio can not be directly printed, then must be changed to MIDI. Some RTs do have the MIDI transcripts so these will not be a problem, however some do not have them. You can convert audio to MIDI and the best way to do that is with Melodyne, however the polyphonic version that you would need is expensive.
You might not need to buy a MIDI controller. Jam Origin:
http://www.jamorigin.com/products/midi-guitar/is a $100 USD program that a lot of people are raving about. It converts your guitar parts to MIDI. I don't own it yet but it is on my must get list.
I hope this helps and good luck.