Good idea to take your truck to a CAT scale with and without the camper. The rear drive weight with the camper and whatever you stick inside needs to be less than the combined load capacity of the two rear tires.
Ballpark figure 6000 for the tire capacity less 2500 lbs at rear of truck for a payload of 3500 lbs. which is going to be a lot less than the weight of the camper.
Secondary factors are whether the stock suspension can handle the weight and the factory shocks but you can easily add Supersprings to the rear and upgrade the shock. In some cases a rear anti-sway bar can help with handling.
