Towing with 2014 Silverado 1500

I have a 2014 Silverado 1500 with 5.3 and 342 gear ratio. I would like to tow a 24 ft travel trailer (27.9 total length) that weighs 6,300 dry and has a GVWR of 8,200 lbs. Tongue weight fror the trailer is 850 lbs and the max payload on the door of my truck says 1639. I will be towing on mainly flat ground 100-150 miles 2-3 times per year. I used to tow this trailer with a 2000 3/4 ton suburban that had 180,000 miles on it and it towed fine. Also, I plan on changing from a 31.6" tire to a 32.2" tire. Will this make a significant difference? Any help would be greatly appreciated.