At the Ec track you want hard tires. Its usually so tacky in the beginning it will let anything hook. Once it starts to groove up you need a harder tire or you will burn through a set in an afternoon.
Now Saratoga is a differnt animal. Its a stone dust horse track that will have a huge cushion. You want a medium soft compound tire. A cushion track won't burn up a set of tires like clay will. After that its all test and tune. I can tell you a cusion track will run a similar set up to ice. But, with that setup on clay unless the track is dry and slicks out you will be so tight you'll flip in the turns.