For some weird reason, when standing at the edge of a huge drop off, the body wants to lean itself over the edge. Funny, because if you stand on the edge of a curb, nothing happens, but if you stand on the edge of the GRand Canyon, you just want to fall over the edge!!
I got that feeling when I first tried to get my shot there. I quickly backed up and laid down with my head and arms over the edge so my wide angle lens could get all of the shot.
...and so you know, a high clearance vehicle isn't a must have but would make the trip easier. I took a a Ford Mustang rental car to the edge and back with no problem. You just have to be aware of what you are trying to get the car over, but it CAN be done.
Roll the windows down and listen for the car scraping and back up and try again.