Getting a dedicated set of track tires is definitely the best way to go. Without the sizes you're looking for it will be tough to make an exact recommendation. But you'll get the longest life out of something like the Hankook RS4, Nitro NT01 and Continental Extreme Contact Force.
Tire Rack did a pretty big review last year:
https://www.tirerack.com/tires/tests...y.jsp?ttid=302