IIRC, Molokai and Lanai can be hunted successfully, also.
Last year I was diving off Maui, the captain said the pigs were about wiped out on Molokai. Deer hunting was good, but they have had a big drought that wiped a bunch of deer out the last few months. He recommended a guide to get access to private property for axis deer, I guess the locals hit the public land pretty hard, so you have to work pretty hard for public land deer and goats.