Congratulations on the new F150 EB! I've been pulling my Eagle 266RKS FULL-TIME for a year and 8 month's now, without any problems at all. Love the way the turbos kick in while climbing a hill. With cruise and toe/haul mode, speed drops from 63 mph to 60; then the tranny downshifts and the speed goes right back up to 63.
My set-up (with 20" wheels) calls for 35 psi in all 4 tires. When towing, I pump the back tires to 48 psi (max. is 50), and have no sway problems . . . well, just a little when a semi goes around me.
You should have no problem pulling your 22FB.
Happy Camping!