I pull a 23 foot hybrid TH with a separate garage, about 6500-7k lbs with a stock '03 Tahoe Z71 and it does pretty well pulling through the Colorado rockies but it's not lifted.
When you lift it puts a lot of pressure on the suspension not to mention the drive shaft angles. These will be greatly exacerbated while pulling a trailer, especially something as heavy as a TH and I believe will essentially pull the truck apart.
Also the high center of gravity along with the extended suspension components and large, flimsy sidewalls of the 35s, coupled with a light duty truck will very likely cause a dangerous "tail wagging the dog" situation where the trailer takes control of the truck while side loaded as in a crosswind.
I'm usually the last one to say don't try it but I don't think it would be safe at all. Just my 2 cents based on my pulling the smallest TH I've ever seen with a separate garage with a Tahoe and a few years driving a semi.
Good luck
Big Brother is watching.