Oh come now, the wheelbase on an F150 is the same as any other full sized truck. Its very similar to the F250 and F350, and the Suburban. I'd be very confident in saying that an F150 can tow as much, if not more, better than a Burban 1500 can. I personally do NOT like the long bed crew cab heavy trucks since they are so hard to manuver in day to day driving, and that's how big you have to get to be longer than a full sized F150. Now, I would not suggest buying or using a V6 truck, or a short bed/reg cab truck. Those are too small. But the larger, medium or long based trucks with the 5.4L V8 engine pull very nicely. The Prodigy brake controller is hard to beat, and not only is it ill advised to tow without SOME kind of trailer brake, but its also illegal.
This is my truck and trailer. The truck has been totalled out in Colorado last month by a dealership mechanic (thankfully no serious injuries other than the truck fatality) so now the trailer is for sale, but while it lasted this truck and trailer easily towed 10,000 miles, several times across the country. The trailer, empty, puts 1400lbs on the truck and weighs in at 4300lbs. Its almost completely aluminum, only two steel pieces, the hitch and the axles. Loaded, the trailer puts 1500lbs on the truck and weighs in at 7,000lbs. Its a 20' gooseneck trailer, pulls like a dream. Not a single factory recommended rating was exceeded when I pulled this trailer, in fact, 98% of the time I even had my 10% safety allowance I like to keep while towing live weight. Technically this trailer is a 4H trailer, but I never put more than two full sized horses (drafts even) on it at any time.