Mike, Your dry (absolutely empty) trailer weighs 6563 and will gain a lot of weight when you add propane, pots and pans, dishes, can goods, tools, beer, etc. Assume your trailer will weigh 7000-7300 ready to go. Typical tongue weight is between 10-15% of trailer weight or between 700 and 1,000 pounds. IMO, you need a heavier hitch and you'll need to be careful with tongue weight on the truck too! I don't know where you got the 720 tongue weight figure, but your hitch probably capable of a lot more weight. I don't know how well the coil spring Ram 2500's carry a lot of pin weight. You may want to look into air bags, I've had good luck with Timbergrove Enterprises bags on my Ram 1500.
2015 Rockwood Ultra Lite 2604 WS. Rear LR, large street side slide with small wardrobe slide in BR.
2014 Ram 1500 Eco Diesel Laramie Quad Cab.