Of course the 06 gets first consideration for all things except elephant but, still old school.I really like your style! Keeping it old school...
The 338RUM, in some cases, carry maybe a little more energy, but not usually, than the 375H&H. The 338 Edge, yes, but numbers don't always tell the true and full story. The diameter and bullet weight of the 375 being an advantage that, in my opinion, negates any slight ME advantage. That said, there's a reason the 375 is legal and used in most, if not all, of Africa. Lastly, and probably not an issue if one can afford an African hunt is the cost of ammunition. More important is the availability of it.338 Lapua is a pretty big boy! Actually carries more energy than the 375 H&H as does my favorite 338s the RUM and Edge, just not legal for dangerous game in most of Africa but in my opinion more than enough.