I tow GVWR of 7700 with the 2013 model very similar to your truck.
It tows it very well, but not effortlessly. If I ever bought more trailer, I would upgrade trucks. It is an amazing truck, but I prefer the feeling of "not knowing its back there". I used this truck with a GVWR of 4000 pounds, and that was truly like it wasn't there. With 4000 pounds, I would get about 11.5mpg towing. With my current trailer, I struggle to get 10mpg.
Power is not where the truck shows its weakness. Stability in a cross wind or passing trucks is my concern.
You didn't mention the wheelbase you have? Mine is a crew cab (157"), and that will make a difference in stability.