First I'd check the tire DOT dates...if not ancient(some say 7 - 10 years old for replacement), I'd check to see if there's any sidewall/tread checking/cracks. If everything looks good, I'd make sure I knew how much the TT weighs and then go to the manufacturer's tire pressure/weight charts to make sure of the appropriate air pressure. Don't forget the spare.
Still not comfortable? Take the TT to a trusted tire dealer for a proper check up and a professional opinion
. If all is good, keep 'em aired up and go camping.
Oh BTW, I like and run Michelin's