With a camper dry weight of 3129# from their web site (which we all know is a joke) you might want to look at 19.5 tires and wheels. I put them on my F350 11200# GVWR rated truck and they are rated at 4850# tires and the Vision wheels are rated at 4500#. This gives me a cushion that I wanted as I didn't want to be on the edge of what I had. The tires are 16 ply rated trucks and the truck handles my camper very well. My cmaper is not as heavy as yours is. Wet and loaded I'm right at 3700#
Just a thought.