Michael,
I am an African outfitter. I hunt in several southern African countries. I would advise you hunt in South Africa. I have found quite a number of clients change their wishlist once they arrive in the country and experience the hunting area. For instance, one gentleman mentioned bushbuck. A lot of clients decide to take bushbuck after hunting other species for a few days, or vaal rhebuck, or bushpig. You have all that variety in the Eastern Cape of South Africa. Do not be concerned about the firearm permit procedure. Your outfitter of choice should supply that to you, so getting through the airport will be a piece of cake.
Toby
safari@bornhunt.co.za