I do not want to seem demeaning but why would you want to spend thousands of dollars to hunt an animal in a cage ??? Exotic ranch hunts are about as challenging as shooting dairy cows in the pasture. If you really want to hunt exotics then do some research, choose what you want to hunt and go to where they are. I have been to Africa and the total cost was less than 7k for a 20 day adventure and memoirs that will last a lifetime. The thrill of the kill is a mere moment, most folks never remember the shot itself, its all the adventure and memoirs of the hunt. Do yourself a favor, go on that hunt of a lifetime, you might think it's too expensive now but you will never regret it.
Do a lot of research on good booking guides, and ask a lot of questions.