Maybe some of the others will have a good answer for you.  In my limited experience, the more affordable hunts are put n take hunts.  That doesn't necessarily mean that the game animals are tame pets though.   Some are quite wild and offer a good hunt.  What type of exotics are you looking to hunt?  If you can narrow it down a bit, maybe someone will know of a hunt for you.  Are you talking deer? Axis, fallow, sika?  Sheep, corsican, new zealand billies?   Whats your flavor?
markc