"I met and spoke with my guide (Ian Tolmay) and he told me that my 30-06 should be sufficient for all of these animals. I'd love to also bring my 375 H&H."

"My suggestion would be to take the one you shoot best with, any of them would work."

Two good answers.

Trust the PH or go with someone else is how I would look at it ,if it were me.

I love my bigger rifles too, however, 2 rifles are twice the trouble in transport ammo etc.

Or, take the .375 because you love it, then shoot a light "camp" rifle on the smaller stuff.