Agree with all of the above comments that you need to watch your payload and ensure you have an adequate engine and transmission cooler. You should get these with either the Chevy or Ford max tow packages. In addition to the payload you also want to ensure the receiver is rated high enough for your expected tongue weight.
For comparison purposes I have the Ford HD Tow / Max Payload with a curb weight of 6,000#. I have the 3.73 rear end and it tows 8,200 well. However, I am at 1,100# tongue weight and the receiver is rated for 1,150#. I do not know what the Chevy receiver rating is, but recommend you find out as that may be a limiting factor.
Sounds like Texan, who currently hails from Idaho where there are a few good hills, has had good experience with the NHT, but per his signature that is with the 6.2L. That engine provides more torque and hp as well as more weight on the front axle which helps stabilize the rig.
Here is Chevy's tow guide, but I did not see the receiver hitch rating.
Chevy Tow GuideFor a trailer of that size I would seriously consider looking at 3/4 tons.
Good luck,
Stu