A couple years ago I went to Uganda, and went on a safari into a game park. I only had a small sony P&S then, with 39 - 117 mm equiv. view, and only a few times did I really wish I had something longer. I'm not sure I'd have really wanted to lug around another lens if I had my DSLR back then. Photos: (I'm not claiming *any* skill here)
Africa pictures by pezmaker - Photobucket
How much does that AF teleconverter degrade the IQ on your Sigma? If it's not much, I personally would suggest the sigma 70-200, teleconverter for that added reach (340 mm), and a wide prime to cover the < 70. I was in Uganda, and don't know South Africa's climate/topography/dust producing abilities, but in retrospect, I wouldn't have worried too much about changing lenses in the field - there wasn't much dust kickup at any given time. I'd be more concerned about ease of transport and whether you're going to want to be carrying this with you everywhere.