Try possibly using C5 Caliper adapter brackets for 93-02 F-body, C5 rotor, C5 calipers, stainless brake lines, more aggressive pad material for the front end.
Upgraded F-body rear rotors, there are plenty of choices. higher spec brake pads for the rear brakes, new lines.
Change out the brake fluid to a higher spec one that will resist heat better, as others have said, upgrade to some braided stainless lines if your converting the brakes anyways.
If its a 93-97, you will need 98-02 spindles. If 98-02, you will just need C5 rotors and the other items above.
C5 rotors have 1.0 inch larger diameter than stock 98-02 F-body. C5 rotors have 1.5" larger diameter than 93-97 F-body. C5 rotors are thicker than both, with directional vents angled to pick up more air than stock LS1/LT1 rotors as well.
You, as advertised can still use the OEM wheels, though I don't see how if you used C6 Z06 rotors and calipers. I'm sure upgraded C5 rotors with stock C5 calipers would be more than enough to woe down the car, if not lock them up. I've NEVER used these, but upgrading to C5 brakes seems like a cheaper alternative to a 2,500.00-3,000.00 brake upgrade from an aftermarket company.
I've found brackets online, I'm not sure if I'll get in trouble for linking to them for you. These I've found online make swaps to even C6 brakes possible. This includes Z-06 (C5/C6). They are are not cheap for two adapters. $250.00. I have found private sellers offering them for as low as $115.00 manufactured by a different company. I'll bookmark the pages, if your interested PM me and I'll give you the link.
IMO C5 brakes would be some serious stopping power, there is more than enough to overpower the tires. I doubt they will fade as much though, especially with upgraded supporting parts.
There is
nothing wrong with auto-xing F-bodys.
P/Ns
Hawksthirdgenparts 1993-2002 F-body C5 adapter bracket item # - JM22605
Left front 1997-2004 C5 Caliper GM part # - 12530683
Right front 1997-2004 C5 caliper GM part # - 12530682
(These are $149.00 per, I'm sure Z06 calipers are more.)
Left front 1997-2004 C5 rotor GM part # - 10445857
Right front 1997-2004 C5 rotor GM part # - 10445856
(Set of front
and rear, which you would not need are $230.00)
Hope that helps?
Wow and while I'm looking at part numbers, it's totally unrelated but GM part number - 19201990 LS9 crate engine (See ZR-1 Corvette) $21,995.00
