Your truck's Class V hitch is rated at 1800 lbs tongue weight, which seems high but it's in the towing guide and is fairly common with Class V hitches. You'll be within all of the published ratings towing either trailer with no WD or sway control, so go for it. If you don't like it, you can add what you think you need.
I had a Class V hitch (Reese Tow-Beast) on my 2003 Ram 2500, but used WD and sway control with a 28 ft car trailer that usually weighed around 8,000 lbs. Per specifications I did not need to, but on a windy day the rig was very uncomfortable to drive without sway control, and the WD was needed to restore the truck to level. Your factory air suspension will keep the truck level.
Brian
2005 F250 Supercab, Powerstroke, 5 speed automatic, 3.73 gears.
20 ft race car hauler, Lola T440 Formula Ford, NTM MK4 Sports Racer
1980 MCI MC-5C highway coach conversion
2004 Travelhawk 8' Truck Camper