I have a similar truck with a similar camper and I do great. But....
My truck came with overloads and I added all of these things---285X75X16 tires on 8.5" wide wheels (both rated for around 3750 each), Roadmaster rear sway bar,went from 2" to 4" factory rear blocks (because previous owner added a leaf to the front to level it), stable load upper bump stops and Rancho 9000 shocks. I also have air bags but don't use or like them much. I sit level loaded and feel safe driving it. Fully loaded i'm right around 7k on the rear axle.
Also, you will need tie downs, I got the frame mounted Tork Lifts.