I live in South Africa and I must say that it is one of the most awesome places to live and hunt. I am one of only a handful of traditional archers in the country and one of very few that actually hunt with a traditional bow.
The traditional bow is better suited to our bushveld areas where there is dense vegetation and walk-and-stalk and ambush is the preferred hunting methods. Our plains game are nearly impossible to hunt with a traditional bow. I also hunt with a rifle and shots on Springbuck in the Karoo of 400m to 600m are not uncommon.
There are still plenty Rhinos but poaching has severely put their numbers under pressure. Private game farm owners also don't want to keep them on anymore as they are high risk.
We have an abundance of species to hunt and with the Rand/$ now is the time to do it! For around $35 you can shoot a Springbuck, $64 a Blesbuck, $250 a Koedoe bull and the same for an Eland cow. A Blackwildebeest (white tailed ngu) would go around $140 and a Bluewildebeest about $200. These are the prices I paid this year. Accommodation, guides and meals for a 4day long weekend are about $300...
The best place to hunt bushveld species are the Limpopo province, although the mountain areas of the Freestate will provide you with more or less the same opportunities and costs you a whole lot less.