A well placed shot with a 375 H&H will take care of any buffalo on earth. A poorly placed shot with a 416/458/470/500/etc will put you in a sticky situation. Always choose the gun that you can shoot well. Your PH will be quite happy if you show up with a 375 because recoil and flinching won't be a problem. If you can shoot a 416 or 458 comfortably than go for it, in my case, I took a 375 H&H and took my buffalo without any problem.