Tuff one man..... My thoughts are "stop the madness"....
Man I would kill for a BFB,,, I understand your problem,,, you ear wants that old sound back in a different breed of guitar. I can notice the change in tone from maple to rosewood or ebony. Jems and UV's are very precise machine, the string string tension especially can change the entire sound,,, a couple of spins up or down on that stud mount heigth can change everything.
Density of wood, and finish can make a huge difference. Case in point, my old UVGR has 5 coats total on the body,,,, this one sounds sooo much meaner than a different one that had 3 coats. Again, it's all back to the wood and set up,,,,,
Have you tried releiving the neck just a touch, and lowering the post mounts just a fraction of a turn. You can literally transform the warmth of the sound by changing that tension. Short of that,,, if I still had my white jem I would trade you in a heart beat.