Light: 300H&H
Medium: 375H&H
Heavy: 500NE

This is the battery I took on my last Safari in Zim this past June. It included Leopard (300H&H), Buffalo (375H&H), and Elephant (500NE). That covers it for me. I've shot Steinbuck with the 375 and Elk with the 300. Plenty of overlap there. The 500 comes out for the heavy stuff in the heavy stuff. If the heavy stuff is in the open, the 375H&H gets it done.