Most stock pickups, actually. You'd be surprised how low the clearance is on a stock f150 without the various off-road packages. I.e. you can easily have a pickup with basic 4wd but only 8 inches of ground clearance. That's technically "high clearance", but not by much, and the poor approach, departure, and break over angles make it tough too.
Depending on your definition of "good," probably most of them. While I have been guilty of taking questionable AWD rentals on questionable roads in places like Death Valley when younger, you really want properly-equipped Jeep Rubicons and the like that you're not going to get from the average car rental place.