OK so here's my 2 cents. I had the same truck 2016 1500 Laramie 5.7 hemi 3.21 gears. My payload on the door sticker 1179 lbs. GVWR 6900, GAWR rear 3900. My travel trailer, Winnebago 26rbss. 6600 dry, 8800 GVWR. Advertised hitch weight 750 lbs. Now for the real weights. Fully loaded actual tongue weight 1280 lbs. Axle weight 7260 lbs. CAT Scale truck and trailer ready to go Front 3460, Rear 4320, Trailer Axles 7260, total 15040. Oh did I mention our trucks GCWR is 13800. So the rear axle overloaded by 420 , and GCWR overloaded by 1240. Added Airlift 1000's to the coil springs, and Sumosprings replacing the bump stops. How did it handle. Boy that 5.7 never had a problem pulling, even accelerating onto the highway. Ran like a champ, stopped great, even thought it stopped better hooked up, with the brakes on the twin axles. With a Blue Ox Weight Distribution hitch and the Airlift 1000's had no sag at all. But that weight on the rear axle scared me, 420 over. Did get a little squirmy at highway speeds when trucks passed, or on a windy day. So we eventually upgraded to a used 2018 2500, with a payload of 2850 lbs.
Now don't let every one say you'll never add this or that much weight to the trailer. With the bath in the rear, Fridge over the axles, but all the kitchen cabinets, and front bedroom in front of the axles, plus 2 30 lb propane tanks, and 2 batteries up front. Plus the pass thru up front with chairs, out door rug, tools, hoses, electrical cables etc. it adds up fast.