For OP: you pick the towable car you want to drive, based on your transportation needs, how you will use it, styling preferences, accessories you want, the image it creates for you, whatever. Your choices are broader than those three, particularly if you might buy used.
I tow a Honda Fit because it works for me as my daily driver. It happens to be manual transmission. That's my driving preference, the automatic has been towable (the new CVT will not be).
If you are going off-road or unimproved back roads, a high clearance 4x4 would be the choice. I'm not sure the new Cherokee serves that need in the same way the '90s Cherokee or the Liberty did; maybe the Trailhawk model.
