Sway can be many things. How level? You may need to add some toung weight. Make sure the wdh is set up corectly, messure the space before and after. Sometimes its better to have the toung down just a bit. Are your propane tanks filled? Also, loading of the camper can effect sway. Too much weight of the back of the trailer can cause it. We are talking trailor sway right? Not like the back of the truck moving a bit? Make sure all your tires are aired up. The weight might be too much for your tires , you probably have passanger tires on the truck. Your camper sounds a bit heavy for the truck also. Add in the propane battery etc and I'll bet you are at or over your tow weight.