I'm a bit late on this conversation, so I'll apologize early to those who've post similar post. I've tried to read them all, but one never knows exactly where one is at on these long posted topics.

First of all, if you're looking for a large caliber rifle, around
or similar to the 375 H&H you need to consider all your options.
To acknowledge my own bias, I own/prefer a 375 H&H, so much so,
I'm seriously considering having my 300 H&H rebarreled to 375 H&H.

However, that may not be YOUR best choice. Depending on YOUR
sense of felt recoil, possibly a .416 Remington might be a better
choice. On the other hand, possibly the 375 Ruger might be a good choice. There are a lot of variables here, not the least is recoil. Also not the least if you handload, volumes of powder!

My point is lets start at the beginning! This is probably better covered in Kevin (Doktari) Robertson's book, "The Perfect Shot for African Game". Kevin's suggestion is that the 375 H&H is
over powered to take Dangerous African Game. Suggesting that
somewhere between 2300 & 2400 fps might be the 'better' velocity
for a 300 gr bullet from the 375! Providing better penetration
and 'killing' power than a bullet fired at 2500-2600+ fps! NOT
to mention less recoil!

I won't go into the details at this point, but leave it simply to mention, a 300 gr bullet from any 375 cal rifle traveling
with a MV of 2300 fps, loaded with a premium bullet should pass
thru both shoulders of a Cape Buffalo shot at 50-60 yds out.
(Typical range most Cape Buffalo are shot. Whereas, some 375
cal bullets weighing 300 grs with a higher MV either fail or,
pass thru and kill another animal on the opposite side. Something to be aware of if you're hunting in Africa, as this results in more trophy fees, or worse depending on what you're
hunting.)

But here is my point, a 300-gr any kind of bullet has less recoil
than the same 300 gr bullet launched at 2500 or more fps from the same rifle.

I'm not an experienced African hunter by any means, but you could do worse by listening to many that are. And, that is my point. African game has been traditionally hunted with large caliber, slow moving bullets, and been quite successful. On the
other hand, the chap using the latest and geatest .460 Weatherby
have actually MISSED the animal at 50 yds, or worse, non-lethal
wounding the animal. Shot placement is critical. Muzzle velocity
is relative to shot placement and the hunter's ability to absorb
recoil.