ALASKA!!!
I am biased because I currently live there and have never been to Africa.
The reason I would choose AK is that it offers so many opportunities for the average hunter with an average budget to get out there and see some game! I mean heck, I've seen bull moose in downtown anchorage before.
Alaska is so wild. A new breathtaking view is around every bend, and you really don't know when and where you will see a bear(s) or a moose; could happen anywhere!
My point is, any hunter can take a trophy big game animal!