Down in South Texas there are many very large ranches, like 10,000+ acre, that provide true hunting. True, they are High fenced but you still have to find them and stalk them. If you go to Africa you just follow the guide anyway. I don't see a whole lot of difference.
Just google around, you'll be suprised what you can find. I believe it's pretty expensive but it's not "fish in a barrel". Of course I'm sure you can find that too.