Hi Super Dave (that's a great name)
I've towed my 5.0TA with a Tundra CrewMax & 5.5' box since 2015 and it does perfectly fine. The new Tundras have higher payload capacities than my 2013 does. You may want to check the sticker on your door pillar to find out your payload and determine if it is OK for the kind of travelling you intend to do. Bear in mind the pin weight of a 5.0TA will likely be 700-800 lbs. There are lots of threads here on the forum discussing payload.
As far as weight goes you are likely lucky to get the Anderson hitch with the trailer. My traditional fifth wheel hitch weighs considerably more than the Anderson so it cuts into the payload more, too. The Anderson from what I understand, can also set your ball a bit further back in the box for more clearance between the trailer nose and the cab of the truck.
For the best information you may want to contact
Trademasters there in Chilliwack and ask them about your specific truck and the 5.0TA. They are near the ETI factory, are well familiar with Escape trailers and have installed many hitches in trucks for 5.0TAs. They did mine and I've had no trouble whatsoever.
I haven't owned a pull behind trailer so I can't compare but my 5.0TA tows wonderfully. It's stable on the road and backing up is only limited by my abilities.