Ok I have a 8.5" Jayco camper and haul it on my 1 Ton with no issues. It doesn't squat the truck one bit, in fact I often forget it's even back there, as you can't tell until you hit a grade. I load it up pretty heavy too, with food, water, supplies, firewood, etc.. I don't know the weight of my camper loaded, as I've never weighed it, but I am positive a 3/4 ton could easily haul my camper. I don't think a 10' camper would 'explode' the tires on any 3/4 or 1 ton truck, as you should be running 'load range E' tires anyhow. If you have any squatting issues, they make airbags.
OK disregard my reply... I didn't see he mentioned 6' box.. nevermind, yeah i wouldn't try that with an F250