The 375 H&H is one of the most versatile chamberings one can own! It is not large by big bore standards, but not small by any standard. This cartridge just seems to do things it's paper ballistics do not indicate! Addtionally, ammo is available in any country where big game hunting takes place. Though What I call big game, dosen't include deer, I've taken many deer, Elk, Caribou, moose, and Bear in North America with this cartridge. It shoots flat enough to use for long shots, on deer size game, and can do a fine job on Cape Buffalo, if the shooter picks his shots, and place his rounds properly. Though many have come up with several "SO-CALLED" improvements in this diameter, none will do anything better than the old 1912 375 H&H on animals.
That's the cartridge, now for the rifles you are asking about so chambered!
IMO, no rifle that is not made on a CRF action should be chambered for a round that has the potentual to be used on bite-Back animals. Right off the bat, that precludes the 700 Rem, and the older Rugers with pushfeed actions. The newer CRF Rugers are fine rifles, as are the CZ rifles chambered for 375 H&H, and up.
NOW! If you are going to use this rifle for Elk, black bear, and Moose hunting, and as well as plains game in Africa, then any of these will do, but My pick would be the CZ, or the CRF Ruger. The CZ is cheaper, and is a fine rifle, the Ruger is more pricey, but is, IMO, a $3000 rifle for $1500, and for my use the Rem 700 doesn't even come into mind, for My type of hunting! I own several mod 700s, but I simply do not use them for hunting dangerous game!
No matter which you choose, they all need to be gone over by a REAL gunsmith who understands how to make a bolt rifle opperate flawlessly, before going into the weeds with anything that may want to kill you, if you make a mistake!.