My setup weighs about 12000lbs when loaded with the rzr in the back with about 1500lbs +- on the hitch with some margin depending on where gear is exactly at in the trailer.
I used to tow it with my Ram 3/4 ton and now I have a 1 ton. I would make sure the margin for payload is acceptable for you on your truck. I bet your 3/4 chevy will have at least 2500+ payload. This should give you at least 1000lbs available for extra gear and passengers in the truck. DO check though ... you don't want any surprises!
One thing to really pay attention to on these long heavy bumper pulls is the receiver on the truck. You will need a Class 5 receiver (2.5") shaft and it will need to support all of the tongue weight you put on it. I believe mine is rated at 1800 lbs. Most (if not all ) class 4 receivers are only rated up to 1000 or 1200lbs or so of tongue weight and the same for the class 4 WDH setups) You don't want to buy the wrong hitch for the wrong receiver!
Another thing to consider is the actual WDH. I looked at a Hensley once but I don't think they made a hitch that was rated for the weight I was pulling. I can't remember for sure what the deal was but I think it was maxed out at 1400lbs tongue weight) Something to research if you're going to be dropping some serious money on a hitch.
I ended up buying a Reese TITAN class 5 WDH which gave me the extra capability.
I'll tell ya - If I were to do it over again I would go with a 5th wheel especially if I knew I would be traveling across the country. I've towed both and there isn't really a substitute for having the weight of the hitch ride on top of the axle of the truck. It's more stable and you're overall length is less for the same size trailer.
Best of luck to you!