Not really sure either, but as a stab also:
Are you just playing chords on the keyboard that play a loop and want to record them ?
You can look at ReaTrak for Reaper it will import the chords from Biab or Biab Plugin into Reaper, it will create a midi chord track from those chords that can be sent out to your keyboard and the audio recorded from that in Reaper.

If the timing is out you can just click the magnet up the top and slide the track to align it.

Biab Track Injector for Reaper
Free Biab Chord Picker Tool