Waaay cool! 1st in class!
You may want to call Doug Rippie or have a look at Dick Gulstrand's site for alignment suggestions....maybe even vette brakes & products might have something.
I would say maybe a set of Nitto NT05's or INVO's maybe; unless you want to have a set of dedicated track tires and another set for street use?
I know that this may sound stupid. In our pizza boxes is a small spiral bound book with the splash logo on it. That book is an owners' manual specific to the ZR-1, and it it there is an "off road" section. In that section it has a suggestion of alignment settings for track use....there is a whole bunch of info actually that I found good reading, JMHO.
Tom