Maybe this will help the OP decide/find the right F150.
Really boils down to the RGAWR that will determine the Fake Half Ton, or lesser 3/4 ton, designed for folks who insist on staying in the half ton range...even though a 3/4 ton would be the choice based on their stated requirements
Listed a couple of links showing 'regular' F150 RGAWR as a reference to compare or show that half tons has a large range differential between them.
Note that the 'regular' F150 has a 3.8K RGAWR and the 'HD', 'Fake half ton' has a 4.8K RGAWR. About 1,000- l,000 lbs more RGAWR and is what most are advising to look for...that number should be on the drivers door label
Then consider that a 3/4 ton and higher class has a 6,000 RGAWR and higher. Regular half ton's low range of 3,800 lb RGAWR is about 2,200 lbs less than a 3/4 or 1 ton and about 1,000 lbs less than the HD/Fake Half ton...everything else follows the RGAWR...as that is where most of the towing weight goes onto...the rear axle
2007 F-1502005 F-150 2001 Ford F-150 Specifications 2014 F150 PickupsTells where else on the Ford sites to look for this info
2016 F-150 PickuP This page tells where else to look for GAWR's on Ford pickups
2018 Ford F-150