If you play guitar I assume you know the relationships of root, 3rd, 5th and octave.
If you know the box those live in then I'd suggest just using the chord chart for stuff you've done in BIAB and start with just playing the root until you get your timing & groove, then add the 5th and re-establish the timing then use the 3rd to sketch out SOME walks n runs.
BIG clue, as mentioned, don't think like a guitarist - particularly a lead player.
Keeping the bass "in service of the song" means using it to set a foundation with drums, to reinforce the rhythm, to help describe the chord and to poke out when it suits.
OH, get some foam to stuff under and in front of the bridge to reduce strings ringing...muting strings with palm and fingers is a little harder but even more necessary than with guitar.
ALL of that being said...do your own thing...AND get a Behringer BDI21...a superb Sansamp clone that'll give you tone, colour and DI VERY cheaply.

Cheers
rayc
"What's so funny about peace, love & understanding?" - N.Lowe