That is fairly similar to my setup. I've not encountered many issues, although you won't be setting any land speed records. I think Chevy has started having a decent brake controller which can work with the vehicle's computer which can use the trailer brakes to prevent sway. If you have that and a good transmission cooler, as well as a decent W/D hitch, you should be good to go. Expect 5-6 MPG so try to stop to get gas every 50-75 miles just to be on the safe side.
I'd also recommend carrying a couple 5 gallon cans of gas in the bed. I do this mainly for the generator, but if you are really stuck for fuel, it will buy you an extra 20-40 miles.