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The biggest thing you have to watch for is pin weight. Depending on make and model of trailer and how it's loaded, your pin weight (not counting hitch) will be between approx. 2300#to 2850#s.
Load your truck with fuel and normal gear that you carry while traveling and all persons that normally ride with you. Weight the truck (truck scales will weigh individual axles). Check your rear tires for their load rating and see if they will carry the pin weight.
I was pulling a 5th wheel with 2650# pin with a 93 F250 7.3 std cab 4x4 ( a lot lighter that your truck). With 265/75/16E tires I had a couple of hundred pound lea way on tire capacity. You may not.
No problem. i use my 02 without issue to pull 34' big sky montana 5er. Pulls great handles fine. If I were full timing it I might go to 19.5 tires for a little more stability, but just make sure you are running 80psi in your drive tires and youll do fine.