2003 silverado 2500

I would replace the factory receiver with something better. First off that generation of receiver is known to have problems tearing apart especially when towing heavy. Second off it's a 14 year old truck, and if you live anywhere they use salt on the roads, or near the ocean, there's probably not much left of the receiver.

Other than that I would not have any reservations about towing that trailer with that truck, 2500 or 2500HD. Both have the same engine and transmission, and that's a good powerful small block.