The one style of guitar I do not own is the LP, though I have other guitars (like the Lyon LPT-24) with the TOM bridge, & really ought to upgrade, as the biggest problem is too little room for intonation adjustment, & I usually wind up with one E imperfect.
Have you measured the post-to-post widths (on centers)? Standard Gibson spacing is supposed to be 2-29/32". The problem usually occurs on stud size: Gibson used M5 studs, but most copies use M8. So long as it's the same on center, you might have to pull the bushings & press in new ones to fit the studs.
If I was going to upgrade a good guitar, my first try would be Schaller.
I liked their Nashville as soon as I saw it, a straight-up improvement on the now-classic TOM.
Schaller also makes a roller-saddle version. These have the added advantage of adjustable side-to-side string spacing (like older Gretsch).
The Schaller I've been wanting to try is their Signum. The design looks to possibly improve tonal curve & sustain.
You might also consider the GraphTech NW2 ResoMax or the Gibson TP-6.
