Tow the trailer to the dealer as if you were driving on ice. Accelerate and decelerate slowly to avoid stresses on the drive train.
Try to rack up as much mileage as can on the truck before your planned camping trip to let the parts settle in and mesh together. City or secondary road mileage does better on break in than highway since you have much more variation in operation. One of best parts of buying new is that you control how the vehicle was broken in verses hoping for the best if bought used. I have no doubt you could hammer the accelerator down in a new truck and get through your warranty period without a problem, but then what will happen with those parts that that have abnormal wear due to lack of break in?