To the OP-
A half-ton truck is ideal for the size trailer (5,500) pounds you are looking at. The Silverado with the 5.3 is a great daily driver and will deliver 20mpg solo highway.
YOU DON'T NEED A 3/4 TON-YOU DON'T NEED A ONE TON.
I am currently on my way home from a trip across the U.S. with my 5,500 pound ( 29 feet)travel trailer and my 2011 Silverado w/the 5.3.
Up to this point the truck has performed flawlessly.
I have towed my trailer 6,000 miles thus far. I have put more than double that on the truck doing sight seeing.
So much for the "you need a dually" crowd to tow a pop-up.
So-it can be done.