Been pondering this kind of topic for a while now, and you were the first one to post this (I think). I'd have done the following below on my own as mods, but I don't have the time or patience to work on them.
Not sure if I got your topic description correctly but here goes:
Starting with the Drivers:
1. Bearing + Yard (where you integrate bearings into the large dish thing on Yard to increase LAD potential as free spinning and have the tiny free spinning ball as metal akin to Planet or POM akin to Yielding)
I'd call it Drift Driver.
2. Eternal + Absorb (where basically the free spinning plate with teeth is made of POM instead including the pointed tip)
This one I'd gladly name Blink Driver.
3. Ultimate Reboot + Impact/Sword (where it still retains the "rebooting" but at hard launches the protruding tip is a combination of metal and plastic on a larger Flat tip)
Good name could be Ultra Impact Driver.
4. Tower + Jolt (the plastic tip is rubber and attacks quickly early-game, then on low spins the Driver height shifts upward to avoid same height Beys; the height without a plastic sharp tip could be around the height of Jolt, then goes up the height of Tower or Volcanic at lower spins)
Bombard Driver is cool, I think.
5. Dimension + Extend+ (where aside from the black rubber tip, the rim part is made of POM and the modes can be changed like Extend but also be able to manually change the height separate from the mode change)
Beyond could be nice as a Driver name.
6. Zeta + good tips from Attack/Stamina/Defense (basically update the 3 modes for a rubber tip akin to Xtreme/Hunter, POM tip as Yielding, and a POM+rubber combo tip like Friction)
I don't know a name for this that could handle the awesomeness, but I'll go with Shift.
7. Archer Hercules gimmick + Atomic/Orbit/Planet (at high velocities the metal tabs underneath the Driver will protrude to increase stamina, but have some scrape risk, then retract into the shaft of the Driver to add a bit more CWD for stability, the tip will be metal and small free spinning ball like Orbit, but still have a free spinning ring surrounding the ball for more precession and LAD)
Fling (?) Driver might sound dumb but the gimmick is going to be OP.
I could add more, but I'm running out of creative names that can best summarize the intended gimmicks for the new part.
The Disks in the actual series ain't too much to complain for. The Layers are bound to have the gimmicks repeated anyways (like the Bound Attack of gV and Hell Counter of hK), so it's the Drivers that provide the most space for creativity and uniqueness (though each suggestion is bound to outclass the Drivers it got its gimmicks from).
Ore wa tsuyoi da
IG: @kinghadoukenbeypla
(I try to post daily for things like Beyblade and Gunpla)