Semi-Auto rifle's are illigal in South Africa and if my memory serves me right in Namibia and Botswana also. Pump and lever action rifle wouldn't be a problem, but your side arm if not registered for use as a hunting weapon and hunting alone will be.
Depending on what type of animal you going to hunt - plains or dangerous game. The .375 (min. required calibre for dangerous game) and .416 will be and in conjuction with quality bullets (GS, Barness, Rhino, Woodleights, Swiff-a-Frame etc.) be excellent weapons to use for dangerous (thick skin)(Elephant, Hippo, Rhino, Buffalo, Croc etc.) animals. Plains game on the other hand does not require powerfull rifles, and most South Africans hunt with .30-06, .308, .270, .243, .303, .300.
I think that your .270, 7mm and .30-06 calibre will be more than enough gun for the purpose.
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Bushwack
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