That's essentially the same weight trailer I've now got. I towed a #5000 GVWR TT before this one (I bought the truck new in early 2014).
I've towed the #7000 TT twice, over a pass or two and on the flats in the summer heat and found I needed to watch my temps a bit more. I have a ODBII phone app to monitor a ton more sensors than the dash idiot lights.
On the second trip, I filled up with Premium fuel a tank before the tow and locked out 6th gear and found I ran cooler because I was not into the boost as much just to go level in 6th..
In other words, I would pull more rpms at a given speen, but the boost was less, so less heat and actually better mpg overall.
I towed the old #5000 TT with a 97 F150 for 13 years, and felt it was a good match, but wouldn't want to tow anymore.
I don't want to tow anymore with the 13 now either. Just what I've learned to be comfortable with to enjoy the tow.. Not just get there with the heaviest and biggest trailer in the park! ha, ha..
In the end, no one can tell you what will be comfortable for you.. I'd say you are well within the specs of the truck and the rest will be what your butt tells you!
🙂Good luck!
Mitch
2013 F150 XLT 4x4 SuperCab Max Tow Egoboost 3.73 gears #7700 GVWR #1920 payload. 2019 Rockwood Mini Lite 2511S.