Lifted truck towing :(

I essentially have the same truck without the lift or larger tires. And I have 3.92 gears. My truck tows my 6000ish lb, 24' trailer awesomely. The Rams are conservatively rated in my opinion with that 6900 lb GVWR. The total GAWR is 7900 lb if I remember correctly. Not that I would want to push it that far, but I believe that gives me some wiggle room. I think it would apply to you too. However, if it were me with your lifted truck, I wouldn't go above 27-28 feet and perhaps 6500 lb, which is still going to put you over GVWR by at least 250 lbs. And I question if that 10,000 lb tow rating applies to the 3.21 gears.