Ah, thanks.
Having the base unit would make deciphering it easier, since you can just look at the signals with a scope! There doesn't appear to be any info on the 3727 on kbdbabel.
I know nothing about that model, but I bet it has an interface that slightly different to anything else :-/
The most general solution would be to mostly gut the controller board, and drive the capacitive sensing chip from a Teensy (or whatever). Then we would have a way to get any of them working, since mostly they use the same chip (I think, or there may be two variants). That would also allow for sending the release code at the right time (otherwise, an adapter may only see a make code for non-meta keys, and has to send a release code straight away).
But that is destructive :-(