I've got an 8.1 3/4 ton Suburban right now and pull a trailer that is 6700lbs GVWR. It's probably around 5500-6000 when loaded although I've never weighed it. My 8.1 pulls that thing like it isn't even back there. It's a 4speed with 4.10 gears. I can set the cruise at 65 and sit back and relax and it'll just pull and pull without hardly ever even downshifting. I love it for pulling. Unfortunately, it is TERRIBLE on gas the other 90% of the time I'm not pulling. Like 10mpg bad. If I didn't work from home, I'd have traded it off already as it's that bad around down and on the highway.
I used to have a 05 Yukon XL Denali with the 6.0. That thing also had plenty of pulling power, but in 3rd gear rather than 4th all the time. It was quite a bit better empty and on the highway. I could usually get 15mpg out of it. I wouldn't have gotten rid of it, but the air ride was going bad, it had crappy 20 inch tires on it that were needing to be replaced, and I was right at the edge of my payload capacity with the "new" camper and my family is only getting bigger. I had a chance to straight trade for this 3/4 and took it. Honestly, I wish that Denali would have had more payload as that's why I ended up getting rid of it. Didn't want to spend a couple grand on tires and the air ride system, just to still have a vehicle that was maxed out, so I made the change.
I now I have a sledgehammer for a job that takes a regular claw hammer.....
2002 25' KZ Frontier
2005 GMC Yukon XL Denali