As someone else said, I wouldn’t pull anything with anything less than an F250 or 2500.
It’s not the pulling, it’s the stopping. and as Eqrider says, an F150 will show the wear and tear a lot sooner on the mechanical parts than a truck that is meant to be pulling.
Nonsense. A lot of the F150s are specifically built to tow. Where did you come by this “fact” that only 250s or 2500s are tow vehicles? Any vehicle that tows will show a bit more wear and tear than one that doesn’t…it’s harder work for the truck. It is about stopping power, but trucks have TOW RATINGS based on what they can safely tow (and stop). It’s in the owner’s manual. If your loaded horse trailer weighs less than your truck’s towing capacity, you can pull it. End of story.
Now, sometimes trucks are modified after they leave the factory. The addition of heavy-duty springs and suspension, and a transmission upgrade (maybe even an engine upgrade) can bring up the towing capacity considerably. Make sure you know exactly which model truck you have and whether or not there are modified parts. Likewise, if someone modified your truck to be more of a speed machine, it might LOSE towing capacity (like gearing the transmission for less high-end torque but better acceleration and higher top-speed).
I have a Dodge 1500 (Dodge F150, basically) with a heavy-duty rating. It is the extended cab with a standard box, and it pulls my aluminum two-horse (loaded with two DRAFT horses) handily. The loaded trailer is less than the truck’s rated capacity (7500 lbs). We also towed the same trailer with an old full-size Bronco that had upgraded suspension and a major transmission re-work.
In terms of wheelbase, “trucks today” do not necessarily have shorter wheelbases OR narrower wheelbases. Some do, some don’t. The factory takes those into account when providing the tow rating though
A shorter wheelbase on the tow vehicle can make for a tougher tow. Because horse trailers are comparatively tall and not very aerodynamic, they can have a tendency to act as a big sail. With a shorter wheelbase, you’ll do more correcting for that than on a longer wheelbased vehicle with a similar towing capacity. Experience here
Then again, the shorter wheelbase tends to give a bit better maneuverability overall, and is easier to back up into the hitch. LOL. If you do find that a bumper-pull trailer seems to be pulling your truck a bit (you have to correct a lot with the steering wheel) you can install sway bars, which connect to the trailer and truck.
A “Rumble Bee” is a specific model of F-150 that is aimed at truck racing. It too will have a published towing capacity, but it probably isn’t as high and it definitely won’t perform as well as an F150 that is built for work (heavy duty models).