I have a 2016 with the 3.5 Ecoboost and max tow package. I use it to pull a lot more than than that on a regular basis. I am generally the only one in the truck with no more than a couple of hundred pounds of cargo so I stay within the truck's GVWR. I do occasionally through another 1,000lbs in the bed and really can't tell the difference.
The truck was factory equipped with the special order LT tires, Load Range C, and I added 2,000lb air bags plus Rancho 9000 shocks. I never pulled without that stuff so I can't tell you how much difference it actually makes. Plenty of power, as solid as my old F250 and stops as well as your trailer brakes work. But that is true for any truck. Of course I use a load distributing hitch but do not use an anti-sway bar.
I haul equipment, not a camper so your aerodynamics may not be as stable as mine. I hear that 20" wheels offer the same or better stability as my 18" with LT tires do.
I found the F150 with a good hitch to be easier to drive and more stable than a 2019 F250 with a weight carrying hitch.