First of all, if you're at all suspect of the capabilities of your tires, get them off of your bike before you take to the track. It would be a real shame to pitch a costly motorcycle over a set of sub $400 tires. With respect to the tires you have mentioned (Conti's and Avon'), I have no personal experience with either of them but I think I'm safe in saying that they are designed to be sport touring tires and not track tires. Personally, I'd be inclined to go with a set of pilot powers or Diablo Corsa's. Very good stick plus you'll be able to get some additional street life out of them once you leave the track. No where near as long as the Conti's or Avons currently on your bike but you'll get some decent additional use out of them.