I know we talk about having an Africa 2.0 or an Australian map but there are other areas as well to consider.
I think either mountainous middle eastern map would be fun and make it a goat hunters paradise. Add ibex, mouflon, angora goats although if they are domestic then don't add them. And other goat species in the middle east.
Also add a Japanese map. I have looked it up and they allow hunting there. It is strict but you can hunt. Have Sika deer, the little Japanese goat or antelope I forget what it is called. Raccoon dogs, and for a waterfowl put the whooping crane on there.