I personally wouldn't do that setup.
Yep.
This type of question comes up all the time on camping forums. Learn how to read the numbers.
Because you're overweight.
I guess the 29XBHL model is what you are looking at on the far right (matches the 7,173# dry weight):
The "dry weight" is technically known as the UVW: Unloaded Vehicle Weight. Right below it is the CCC: Cargo Carrying Weight (of the trailer). Those two numbers added together are the GVWR: Gross Vehicle Weight Rating. In other words, the empty trailer plus all the stuff you can carry INSIDE the trailer is the number to bounce against your tow vehicle number.
CCC+UVW is 9,765 pounds and if your F150 is rated to pull 9,100 max, you are overweight. People say, oh I'LL NEVER carry 2,500 pounds of stuff. And yet they can and do (depending on how they camp).
The problem is not "towing" (getting the hitched up rig rolling). It's not "how it rides". The problem is "stopping" (bringing the moving combo to a safe zero velocity). In the past I braked at high speed far enough in advance

and even with the brake controller I reached Zero-V in the middle of the intersection. I felt like a fish under glass with everyone from all directions looking at me.
You also got some hills in Pennsylvania (my son lives in Scranton). Your tranny will be doing a lot of shifting up and down hills and accelerating and you'll wear it out eventually.
Some of us also put a buffer between the tow vehicle tow limit and GVWR. The Ford pulls 9,100#? Get a trailer that doesn't exceed 7,500# GVWR which gives you a buffer/margin of 1,600#. Vehicle tow numbers generally assume two people who weigh about 150# each. Taking the family? Packing the bed of the truck with all the STUFF that goes camping? Every pound you add to the vehicle (people/stuff) is a pound you give up in CCC. Full tanks? That's 1,100# right there. Are you taking Uncle Joe with you too? He weighs 300# .....
And so on .....
This comes up when people get the small travel trailers (18') that GVWR 4,000# and their minivan they want to tow it with is rated for 3,500# "with a properly equipped tow package".
I wouldn't touch that trailer with the F150 - at 37' it's too heavy. Need to look elsewhere - they can call that particular model a "Hyper-Lyte" but at nearly 10,000#, light it ain't.
Bama Ed
PS - people joke with me because I have a small trailer GVWR of 3,500 and a tow vehicle rated at 8,100. I'm not a margin/buffer guy. I'm a numbers guy and I can do the math. (Plus, one day I dream of a single axle small Airstream).
PPS - oh and plenty of people that claim they take their 10,000# TT out for the weekend behind their Chevy Impala. Your insurance company won't support you, I don't believe, if you exceed your weight limit. Making modifications means you knew you were overweight. So if you have an accident while hitched, you could be in trouble.
PPPS - and the truck, as PaHunter points out, has its own numbers to run. The Hitch Weight (965# which sounds right for a 9,700# trailer) counts in the truck payload capacity. And people and stuff in the vehicle count too. You have to do the math and plan for a "worst case" scenario.