1. S.O.L.
2. Track insurance for the day?
3. Most tracks do not TIME the laps, so it should not hurt/void your coverage?...
4. You finally realize that the NSX is not a go-cart and you shouldnt have put it on the track in the first place.
that is unless......
5. you have money to burn
Regarding #4--> A track-prepped NSX is as close to a go-cart as a street car can get. NSXs are built to be driven, but in your case to a car show instead.
Regarding #5--> I have the money to race (not burn).
Overall consensus is "SOL", but for me the risks far outweigh the benefits (as with any extreme hobbies). I've participated in Driver Development Programs and have been lucky enough to be instructed by some of the best NSX drivers /race car driver.
You're more likely to get into an accident on your way to a (boring) car show or a get ticket for no front plates, tint, exhaust, whatever. It comes down to each person's level of risk management.