Fin, what area will you be hunting? If Limpopo, then sure, the 375 will work, but in the Eastern Cape, no. You will need something with a better ballistic coefficient than the .375 bullet. If you were hunting down South, my vote would have gone to the .300Win as you are often required to shoot across valleys and mountain faces.
Enjoy the planning, and we look forward to the awesome photos!
Agree 100% with Marius