Turbo, before you even consider it I would say NO WAY to the NSX and the reason is not even about how nice or not the car is. Driving cross-country will most likely give you at least one flat tire. The NSX can't even fit a full size spare tire so this is one big reason I would never take it long distance. Pop a tire on I5 between norcal and socal and I would be screwed. My rims are way too expensive and my car way too valuable to do this.
Why would that be likely? I've driven MA to FL countless times and never once got a flat. I drove AZ to MA, 3000 miles, no flat. I can't recall ever getting a flat on any road trip I've ever taken. I don't think that's likely at all or a reason to dissuade anyone from taking an NSX on a road trip. Just tune up the car before you go, check the tires and brake pads, change the oil and make sure everything is in great operating shape.