I talked with an engineer friend of mine who works at Goodyear, and it was his feeling that with 18 plys the tire would not catastrophically fail for well beyond 300mph, and if the temperature could be controlled then there shouldn't be a problem with the tread chunking.
Matt, all you need to do is get your guy at Goodyear to put that down on paper... Over the last 25 years we only hear a "click" when we try to talk to tire engineers about using the aircraft tires for LSR.
Burklands did a lot of F-16 tire testing trying to find a suitable LSR tire, I think they found consistency... unfortunately it was the inconsistency of the failure speeds...
Good luck with the project