That is a nice floorplan for sure, and at that length nothing is more important than having enough truck. If the dry weight you stated is from the brochure, you will find the actual sticker weight to be higher leaving the factory. Make sure you get a quality WD hitch with integrated sway control, many have already been mentioned above.
That being said, a WD/SC hitch must be installed and dialed in properly for best results, might take a few trys before you get it just right. We tow a long TT and sway is not an issue for us, and the wind tends to blow with quite a bit of force in our neck of the woods. Nothing is more paramount when pulling a sizable rig than overall towing comfort.