I tow my 23 foot Airstream International with a slightly modified 2007 FJ Cruiser...the "taboo" tow vehicle of all time. Yes it has a short wheel base but acceptable, below mods are what I did to make my truck work for me:
Transmission Cooler ( FJ's dont come with one )
Reese Hitch ( FJ's hitch was junk)
Air Ride bags in the rear only to help level the truck when loaded
WD system with sway control
Prodigy II brake controller
I live in Socal and haul my rig up to the high desert on weekends. It tows fine. I do feel it back there from time to time but never had a sway, have done medium to heavy breaking with the Prodigy and it works well. I climb quite a grade going up and coming back but just stay in my nice slow lane to the right and do 65 MPH and let the world go by. Crossing the high desert out by Edwards AFB generates a stout cross wind almost every day and the trailer pulls just fine.
Would I go to Colorado and descend a snowy road.....no but I would not do that in any tow vehicle.
For me bottom line is research as you have and adjust accordingly/safely. I am going to by my wife an LR4 soon and use it as a second tow vehicle after adding the Prodigy II and evaluating the factory hitch.
Drive safe everyone....you cool dudes with big tow vehicles wave to me as you pass by please....I am the little guy with the cool FJ and the SWEET Airstream behind it.