The facts:
2013 Ford F-150 s/crew 5.0 1050 lbs max wt distribution per sticker on hitch.
I have not purchased the trailer yet, just trying to get all my ducks in a row...but what we have looked at has a tongue weight roughly 800-1000 lbs.
Generally speaking most folks find the trailer they like first and then the truck or tow vehicle to tow it. That eliminates the need to try to find a trailer that fits what the truck can handle. Good luck in your search for a trailer and hope you find one that works just right. The problem with most half ton trucks is not so much the tow capacity but the payload. Adding 1000 pounds tongue weight to the payload, people, fuel, etc. often compromises the ability to carry much else in the truck. At 13 percent tongue weight you are looking at a trailer in the maximum gross weight range of around 7500 pounds plus another 75-100 pounds for the WDH.