Greetings Swedish chef,
Khomas Highland Hunting Safaris of Namibia, welcomes you to the greatest forum on earth.
Regarding your caliber questions, my vote is for you to keep the .375 H&H.
No matter what else you do, always keep that .375 for sure.
Now that your .375 is settled, either the .30-06 or the 7x57 are excellent calibers for much of Africa’s animals.
You will be happy with either of them.
If however, one is more accurate than the other, keep whichever one is most accurate and then sell the other.
If perhaps both your .30 and 7mm are equal in accuracy, I suggest you keep your 7x57.
This is because of tradition and nostalgia.
No other reason.
Regarding the .300 Winchester Magnum, that caliber seems to be a highly specialized one.
I believe it is best suited to rather long range shots at thin skinned game, beginning at about 350 meters and further.
South Africa’s Eastern Cape, much of Namibia and certain parts of the Kalahari Desert often have conditions that make it possible shoot farther.
For those, a .300 Magnum is perfect.
However, perhaps 80 percent or more of the most common Africa hunting conditions, are not especially well suited to long shots.
The extra velocity it has is totally unnecessary at the more common distances.
And not just unnecessary but, at the more common shooting distances, that extra velocity splatters and wastes too much edible meat, IMO.
Also, at the more common shooting distances, the .300 Magnum tears the skins of smaller animals badly, again due to unnecessarily high velocity.
Your 7x57 or .30-06 will also work quite well, in those more open geography and sparse foliage places, without badly splattering the animals at closer ranges.
Furthermore, the .375 H&H is a very fine distance shooter, when loaded with a 270 grain bullet.
And generally speaking, it is nowhere near as destructive on edible meat and skins for taxidermy, as the .300 magnum is.
Most important, it is a fantastic bush cartridge, especially when loaded with a 300 grain blunt shaped (“round nose”) bullet.
For hunting the larger non-dangerous species such as, eland, zebra, waterbok and so forth, it is possibly the very best choice.
I am rambling and so I will close now.
Best Regards,
Velo Dog.