"Specs 3.55 rear axle, 3.5L V6 Ecoboost,
Max trailer tow package. 157" wheel base, 6.5 bed.
7000# GVWR package, I think this references in the ford brochure a 2270# pay load capacity."
The 2270# payload is only available with the 3.73 axle while max towing capacity is only available with the 3.55 axle. Go figure.
My fully loaded 2016 Screw with 6.5ft bed, Lariat package, 4wd, sunroof, FX4 package, bed liner, tonneau and most every other options weighs about 5,600lbs so theoretically I only have a payload of 1,400lbs.
A lot of the answer to your question depends on how much weight you are going to put in the truck. On the other hand, I have no doubt that my truck would handle the task satisfactorily to my expectations and it is rated for about 2,800lbs less than yours. I do have LT tires, 2,000lb air bags, Rancho 9000 shocks in back and a properly set up weight distributing hitch.
The main requirement for safety is good brakes, make sure that the trailer brakes are in good order and do a couple of stops with just them every time you start a trip to be sure that they are clean. Keep sway under control and the truck reasonably level(as in down about 3" from empty in back) and you should be good to go.
Happy travels!
I was thinking about the fact that you live in Houston and are surrounded by big, wide open areas with occasional 80mph speed limits. That trailer won't be safe behind anything at 80mph on a hot Texas summer day. For starters most trailer tires are only rated at 75mph. An awful lot of how much you truck can tow safely depends on the speed at which you are towing it. I know that 70 is going to seem slow out there but I would not tow that trailer any faster than that even with a dually.