Any hard side camper is going to weigh at least 2500 to 3000 lbs when loaded for camping including all the stuff you will carry in it and the truck. Camping is all about relaxing and not worrying. What you are proposing will be a scary, white knuckle driving experience and will kill your truck. If it's a short trip on a good road, you can get by, but forget about cross country trips, mountain roads, gusting cross winds. Do yourself a favor and get a truck with the necessary GVWR or go with a popup or shell for the F-150.
100,000 miles of TC experience here. Goodluck.