You must use an R compound tire. It will help you on the track and drag course. There are only a few options for you the Yokohoma A032R, Kumho VictoRacer V700, and the Pilot Sport Cups.
The Sport cups are probably the best they are not available in wide sizes. The A032R will be the best one for the drag race and I feel the V700 comes 2nd to the pilots.