Hello gatekeeper,
As you mentioned "particularly given the shorter distances", directly equates to the .30-06 being a very fine antelope, zebra and piggy caliber.
If however, you are one of these 500 yard guys, the .300 then shows a definite advantage.
I've used both the .30-06 and a .300 H&H in Africa, with nothing but perfect results.
My recommendation is to avoid light for caliber bullets, especially at dreaded magnum velocities.
Likewise, my recommendation is to use at least 180 grainers as your minimum for Africa (Alaska as well), in either cartridge.
I've shot many critters with 220 grain round nose bullets in the Limpopo District of South Africa and here in Alaska as well, from the .30-06.
It is amazing to me how many people do not use that combination.
It is extremely effective (especially on large animals like wildebeest, zebra, waterbuck, moose, bear and such) but yet does not splatter edible meat all over the bush like lighter bullets often do.
Last but not least, if you decide to buy yourself a bit more gun than the .30-06, just get a .375 H&H and be done with it.
Participating in this forum will cause you to want one anyway so, start saving now.
The right deal will come along when you least expect it.
Recoil is about twice that of the .30-06 so, mortal men can learn to shoot it very accurately.
Trajectory is happily so similar to the '06 so as to be impossible to tell any difference when using one or the other.
All that being said, if it were me, I'd either rent a rifle from the PH (I generally do that these days) or, I'd take that .30-06 to Africa and save my .300 magnum money to pay for something like a kudu permit.
You can shop for a .375 after your Taxidermy bill is paid off hahahaha.
Cheers,
Velo Dog