I have a 2012 F150 5L 3.73 gears 1500lbs payload, and tow a 5700lbs loaded trailer. The 5L and 6speed transmission tow that through the mountains here in BC no sweat, I can overtake anytime I want and have never felt the need for more power. With a proper WDH set up it should handle well too, but you have to take the time yourself to get it set up right or the softer F150 suspension will have you bouncing down the road.
That all being said, I do lust after a F250 with the 6.2L for towing. I don't need the extra power; but the firmer suspension, LT tires and longer wheelbase would result in a very confident ride. That all comes at a sacrifice as a daily driver though.