Victoria, there is a style in BIAB called blank, that is both a swing style an even style. I use this a lot for times when, I want to create something close to the song I want to create a backing track for. Yes, ninety nine percent of the time, the styles work for me, but that one percent of the time when the song may be in same style but sort of in-between, I'll use the blank style and combine certain RTs. Also, I like to use the genetic RTs, the ones where it's just a guitar doing strumming patterns, the piano held where it holds chords based on the chord progression, and the guitar held which does the same as the piano held. Those work fine for me. Also after re-reading your post, check out the bluegrass and celtic styles. I recently started playing mandolin and a lot the songs written for mandolin, or feature it are usually in the celtic and bluegrass genre.

Computer: Macbook Pro, 16 inch 2021
DAWs: Pro Tools, Logic, and Maschine
plays drums, percussion, bass, steel pan, keyboard,
music producer/engineer