I picked up a nail at Wing Ding 41. Actually I think it was at the Gaylord lot, but in their defense the nail was aluminum so even if they sweep the lot with a magnet it wouldn't have made a difference. Anyway, no one offered me any help. The Brigstone people offered to sell me a new tire for $209 plus $80 installation. I said no thanks.
The tire held pressure so I rode 80+ miles on the back roads, bought a plug kit at Walmart for $5.88, then used a fellow camper's compressor and the tire is still good. I'm riding on it today.
In years past I've ridden fairly far with almost no air, but I never ride overloaded! The bike feels a little squirmy, so you know you would have to be a fool to ride much faster then 40 or 50 mph, preferably slower.
So, I don't know why you would need to carry anything. The compressor I borrowed had never been used before. The guy I borrowed it from wanted to know if it even worked and how to use it! However I did leave the plug kit with the bike, but there are plenty of auto parts stores so I really wouldn't feel insecure without it.