Z, there are only two ways to get BiaB to play the chords exactly the way you want them to sound:
1-MIDI with a good sound source. With MIDI you can easily move chord notes around to get the inversion you want.
2-The polyphonic version of Melodyne (or equivalent). You can easily move RT notes in Melodyne.

Neither of these may be a good option for you but my experience indicates that they are the only options.
Note that I have used Melodyne with RTs with no artifacts.

Whenever I get something stuck in the back of my throat, I dislodge it by drinking a beer.
It's called the Heineken Maneuver.

64 bit Win 10 Pro, the latest BiaB/RB, Roland Octa-Capture audio interface, a ton of software/hardware