Oh, and frjeff: don't let the 3.55 MaxTow deter you... you want the MaxTow package for many other reasons, not just gearing. It seems like you're looking at 2015 models since those are the only ones that offer the MaxTow package with 3.55 gears. 2014 and older came with 3.73 gears standard with the MaxTow. If the 2014 or older has 3.55 gears, it is not MaxTow (maybe just tow package) and will not include the extras you're wanting.
If you found a 2015 MaxTow with 3.55 gears and you really love it, I would go for it, especially if you're planning on sticking with the 22FB and not going to put bigger tires on the truck. My trailer is a lot bigger than yours and with the bigger tires I put on my truck it effectively took my 3.73 gears and turned them into 3.55 anyway. Still pulls like an angry mule and fuel mileage unloaded is impressive.
2013 F-150 EcoBoost MaxTow
2013 Jay Flight 28BHS Elite
"My wheel lugs require more torque than your Honda makes!"