So first of all this might be a perspective issue. My previous truck was a 2020 F250 with a 6.7 Powerstroke. I could hook my little 3500lb camper to the back of that and as cliché as it sounds, not know it was back there.
We downsized, because my wife wasn't comfortable driving the F250, that, and it was worth about 10K more than I paid for it new. I bought a CPO 2019 F150 Platinum with 3.5 ecoboost with 7k miles. There is no problem with power with the F150, it will pull the trailer as fast as I want to go, we pulled the camper about 90 miles today for a little weekend getaway, and averaged 12.9 mpg on the lie-o-meter with the cruise set on 70.

My issue is the suspension on the F150 seems so much softer than the F250, if you hit bumps in the road, it feels like it pulls the **** end of the truck up and down a bit giving a slight bouncing feeling. The trailer is empty, so there is no option to load it different.

I am thinking I might need a weight distributing hitch and/or better shocks in the rear. Am I missing anything else? I would love to hear opinions from those of you who know better.

I will say, on good highway the ride is just fine, it also never seems to side to side sway, just up and down.

 

A lot of owners say Bilstein 5100 shocks in the rear really settle it down and get rid of the uneasy feeling. I have not changed out my shocks yet so I can't give an A/B comparison.

 

You have the same trouble I had when I went from a 7.3, 250 to a 150. I was very very disappointed, handling was like, "why the H did I do this"!!! You traded in a truck, for a car. LRE tires helped, airbags helped, but in the end, a 150 is still a very nice car. Sold my trailers, except for a little 6X10 tilt bed, 3K, it works alright with that. I know this wasn't helpful, just wanted to let you know you aren't alone.

 

I pull 6500 lbs. with our F150. 2017 3.5 turbo...10 speed.. We use a leveling hitch and anti sway bar.. The pickup also has a tow package... I don't find it all that difficult...It will bounce on rough stuff but you get used to it. Maybe due to never having a 3/4 ton for towing. I started with a 1982 F150 with a 300 inline so today it seems like everyone is kind of jaded by all the power we have. Does yours have a tow package? Those little two wheel jobs tend to swing around a bit more. Maybe just give it time. Pulling that small a rig with the big 3/4 ton I am guessing you couldn't tell it was there unless you looked in the mirrors! That trailer is light enough you wouldn't hardly need the equalizer. What is the tongue weight on it?

 

You don't need a WDH or anything else special with that trailer. I could pull it with my Explorer. You just need to get used to the new truck and how it handles. It will be different, loaded, unloaded, with, or without a trailer.

 

My truck has max tow and payload packages. I believe the tongue weight is around 450lbs,

 

While this is all true, a WDH will help you in this situation.

 

Roadmaster Active Suspension. You’ll get significantly less oscillation and body roll without a jarring ride.

 

Having no problems towing my 7000 lb TT with the 2015 2.7, no max payload, no max tow, no LRE tires, no 'airing up', no airbags, no 5100's. Just a Blue Ox SwayPro hitch, properly set up.

 

I found the same thing with my light duty 6,600# gvwr truck. The front is good, but the back end wallows like a barge in heavy seas. I don’t tow often, but I wanted to improve stability even without a trailer. I found handling improved substantially when I added Bilstein 4600s to the rear without sacrificing the ride. Considering the minimal cost and easy installation and pretty universally good reviews, this is a low risk - high reward mod.