The S2000 doesn't handle nearly as well nor is as fast as a C5 or C6 but they are cheaper to set up and run. The AP2 can be made to handle really well with little more than some sport springs, big front bar and alignment. Beyond that you can run no extra coolers, stock radiator.
Good pads cost about 60% of what the Vette pads do and they'll last almost twice as long. The AP1 is kinda evil in its limit behavior, requiring rear bump steer correction and a smaller rear bar to go with the big front.
If you are dead set on a Vette, I would strongly encourage you to consider lower grip tires like the normal 200tw in OEM size. Not the RE71R or Rival-S "Super" 200tw's. This makes it safer by keeping speeds down a bit, lower cooling requirements and is also easier logistically.
Overall a C5Z makes more sense than the C6Z even though it needs big brakes IMO. Cheaper up front (like 50%), depreciation plateau'd, more robust engine and a tick slower which reduces chances of damage/injury of you make a big mistake at the wrong time.