I'm curious about your truck's payload. Typically, the rating limit reached first is not the "towing limit", but is the "hauling limit". The tongue weight of a 12,100 lb. trailer (1200-1800 lbs.) combined with the weight of the passengers and cargo in the truck would exceed the chassis weight rating (GVWR) or rear axle weight rating (REAR GAWR) of most F150 pickups.
Your proposed 4400 "brochure weight" camper will likely be 6000 lbs. with options, propane, batteries, water, food, tools, outdoor chairs, etc. The tongue weight will likely be in the 720-900 lb. range.
