I wouldn't be worried about the tires so much as your tranny. No doubt that you will crunch your diff using nitrous right out of the gate...ask T-RedSVT he has a nitrous kit and says he never uses it while in first gear. Only way I would even consider it is if you had a Bulldog Box with a quaiffe made by Terry Haines; even then i would err on the side of caution.
Just my $.02 though