Biab should be able to be made to do this as it works with the conductor ok, but for now this can be done in Reaper by dragging the Biab master stereo track into Reaper,
the chords are imported from BB musicXML or via the Biab Plugin.
You just create up say 4 bars of all the chords you will be playing.
Reaper uses a midi chord detection plugin for detecting what chords are being played on the midi keyboard.
A script will send the play head smoothly to that region chord, the chords can be changed on the beat or bar.
The script will also read keyswitches of this first octave or octave you set, these keyswitches will tell Reaper what section to play next, verse, chorus, solo, verse ending, chorus ending, count-in etc..
Different styles can be loaded into each track, temp changed and track soloed.
You can also use another vst in front of it to use 1 finger chords.
https://trackbout.com/ripchord
https://www.codefn42.com/chordz/
http://www.vst4free.com/free_vst.php?plugin=midiChords&id=1642
Insert Piz Midi VSTs Google Code Archive
https://code.google.com/archive/p/pizmidi/downloads

The video is just the prototype with a few chords example and live chord input, I just want to see if this is something that would be usable to enable users to play live chord input into BB styles ??

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BB-Live-Chord-Input.mp4 (8 MB, 215 downloads)