Really, there is a reason you're hearing it's not good to tow with a Jeep, and there's no way I would... this coming from someone who was in a bad accident that flipped her 3 horse trailer being hauled with an F150...
But years ago I pulled my light (2200 pound) two horse wtih my Jeep Cherokee with one mini in it and it was really hard on the Jeep... and for safety of the horse and you... I just wouldn't! But I am super paranoid about hauling, even before, but especially after, my accident. BTW the accident involved no one but me, tire problem on a freeway with a semi next to me and lost control and went spinning in the middle (between the northbound and southbound lanes) and totaled both the truck and trailer, but somehow my horse managed to only have knick above her eye (mini, probably would've been BAD if full size horse).
Glad you and the horse were alright....
With the jeep you really need to consider the brakes, tranny, and weight of the trailer. Look into the manufacture specs and recommendation; they are there for a reason.
With an accident like CheyAut any time you have a blown tire and are traveling at a higher speed you are at risk to tip, spin out, etc... Iíve seen cars pulling nothing blow a tire and end up flipping (or like me get sucked into the ditch). And I've seen semis tipped into the ditch. F-150s or 1500s for that matter have no problems pulling a horse trailer as long as it is under the manufactures recommendations. You may end up dropping a tranny sooner then a bigger truck- its all in how you drive and what kind of terrain you are in.