As an aside, I took two rifles of the same caliber to South Africa in 2008. One was for me and the other for my son. The US customs forms for both were in my name. The SA police would only let me bring one into the country. My son wound up using a 270 borrowed from the outfitter. It worked just fine on wildebeest, kudu, gemsbuck, and several other species.

Take your familiar 30-06 and you will be fine.