When you say sticky, are you street racing, drag racing, auto crossing or track driving?
From past experience with the FR500 and 2011 Shelby on the track we used Bridgestone 050A tires, tread wear factor 140. Any stickier and you go to Hoosier's. Good lasting tire even at 5/32nd. Great in the wet. And they come in a 285 profile that will fit you wheel.