Sorry Tonnie - I meant to comment on your Cmaj7/Dmaj7 example.

The central problem, I think, is that you have a 7th and a major 7th in there (C & C#). No standard chord system I've come across (including BIAB) will find that easy! (btw, there's no #11 Ab, I think).

I'd experiment with things like: Cmaj7/D; D13, D69 and see what fits best....

After all, no comp-er includes every note in the harmony! Best again - Andy