Had a 2014 3.5 eco F150 Screw steel body 6 3/4 bed. Initially towed a TT very similar to yours but with 120# more tongue weight and 2 feet shorter. I was within all my specs and I don't have enough good things to say about the powertrain and it's ability to handle the weight but while never white knuckle it just never felt really comfortable.
By chance 4 months after getting the 150 we traded into a TT that loaded is 7700#, tongue weight loaded of 850# and is 31 feet overall. This unit towed much better. There was still a little rear bobbing and side movement of the TT due to the softer suspension of the 150 even with the addition of 100# air bags. No real issues but needed to be more aware of the situation.
This December traded the 150 for a Ram 2500 6.4 Hemi because we get a new truck about every 3 years. Decision was driven more by the fact that I haul heavy loads of oak rounds to heat my house among other things and not because of the TT.
Recently took a 500 mile trip towing with the Ram and it came as close to being a relaxing trip as you could hope for. The 6.4 did an admirable job but the Ecoboost was superior in my opinion.
You coming from a 1500 may feel perfectly fine. I can only relay my experiences which closely parallel your situation.
Good luck.
Doug