Speakers have a lot of cabinet resonance

Maybe you can share some pictures and drawings of the actual design?
Because at this moment it's full on guessing what's going on.

Also, if you say that there is a ton of bracing, the problem must be something else.
That tiny bit of cabinet resonance is not enough to be CLEARLY audible, but falls deep in the nuance area.
Most definitely NOT "a lof of cabinet talk".

Unless you have some mechanical construction problem going on somewhere.