When our kids were smaller, we started using the travel trailer for vacations. At the time, I had a half-ton Suburban. It was an ultra-light 28' trailer that was about 4500 lbs dry. Loaded for vacation, we were closer to 6,000 lbs.
The engine isn't the problem in the half ton trucks. As others have said, the 6.2 is a great motor. But the weak link is the rear axle. You'll be overloading it, even with weight distribution, if you go much above 6500 lbs or so in trailer weight.
So, bottom line, yes, the truck will pull a travel trailer very well. You want a trailer that's no more than about 5,000-5,500 dry. And if you ever go to an RV dealership, don't listen to a thing the salesman tells you. Check everything using scales. CAT scales charges $11 for a weigh. Cheap insurance.