The authorities in RSA are not hunter friendly. They run away thousands of potential hunters each year with their stupid SAPS form 520 and changing regulations on the 4457 form. The employees who check your firearms in and out at the airport are sulky and ask for bribes. International hunter numbers to RSA have decreased 55% in the last 10 years and have increased by more than that in Namibia, which welcomes hunters.
Go to Namibia. If you fly through JNB, don't overnight, have your firearms and ammunition checked straight through to Windhoek.
