It is hard to beat the performance of a fresh set of Hoosier A7 tires, if you are the sort of driver that can calmly throw down your best lap on hot lap 1 or 2. I have won a lot of NASA TT events (and free tires) with this method. The downside is the limited number of Heat Cycles and the high COST (and cost per lap).
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The Toyo RR is a joke in NASA TT. Even with the 1.6 modifier bonus, its out of its league even with the 2nd tier 200TW tires that can get that bonus, and far behind the top tier 200TW tires (the 1.0 bonus tires). The Toyo should only be your choice when
forced - like in the Spec Series that Toyo buys its way into. Yuck!
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Lately I've been building around SCCA TT rules (Max1) and using the class required 200TW limitations. Then going to other events and wrecking havoc against Hoosier clad NASA TT cars.
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The 200TW tire I've been using ALL SEASON is still cranking out Fastest Time of Day laps, after dozens and dozens of heat cycle. 8 events in, and they still have amazing grip.
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If you can make a fast top tier 200TW tire (Yokohama A052 or Bridgestone RE71RS) work on your car, take that
1.0 bonus in TT and go for it. The cost per lap is VERY good, but you have to treat them like an A7... gentle out laps, take 1-3 hot laps, then come in. They fall off pretty fast after lap 2 or 3, so you are just burning up tires for no reason.
Cheers!