I agree with
Malamute, I adore my Whitworth Express Mauser chambered in the venerable old .375H&H. I did quite a bit of shopping before buying, but I absolutely love this rifle. It is constructed from a solid magnum length commercial mauser action, has a good barrel complete with barrel band swivel (I consider this a must for high recoil rifles, though this rifle is actually pretty mild), an excellent fitting stock, great sights (mine is equipped with 1 standing and 2 folding express sights & a hooded front sight), and that big 'ole claw to yank out the spent cartridge and sail it into the next county (unless you are gentle with it, in which case it will drop it at your feet).
Others that I looked at included various non-CRFs (but I felt that they just couldn't be relied on in the harshest of conditions), Ruger M77 Mk. II (stock feels horrible and therefore accentuates recoil), older CRF model 70s (tended to be too costly or didn't have the features that I desired), Kimber's (simply too costly), and the CZ-550 (few features that I wanted unless you went custom with this platform). I inquired about the new chamberings proposed by Winchester, but was told that .375H&H was simply not popular enough and was not a consideration...about 2wks after buying my Whitworth they announced the new Safari M-70s...which included .375H&H. I was disappointed...until I shot the new rifle. At which time I was overjoyed that the gentleman at Winchester was misinformed as I can't imagine a better fitting, nicer shooting rifle than the Whitworth. If you can find one of these out of production rifles, I would snatch it up, if you are dead-set on a new rifle, the M-70 would probably be a decent alternative.
Whatever you do, and whatever you decide on, don't settle for the newfangled .375Ruger, it may be touted to be just as good or slightly better, but I believe there is a reason that the H&H is still as popular today as it was 98yrs ago...it gets the job done with regularity! Also you can pick up .375H&H in just about any Inuit village or African outpost, the .375Ruger not so much. While nitrocellulose powder has become better and better, I am still inclined to trust the cartridge with that marvelous taper for proper chambering and extraction; and i'll leave the straight walled stuff for domestic game that doesn't like to trample or bite.
If you decide to scope it, do so appropriately (at least if you intend to use the rifle for the purpose it was designed) and select a robust scope that not only can handle the recoil of the cartridge, but also a few bumps along the way (and still hold zero). Mounts are also a vital concern, and I believe that QW style mounts/rings are best for an insurance policy in case of damage (to allow for use of BUIS or back-up optics). The following is a photo of the Whitworth complete with Leupy VX-3 1.5-5x20mm and QW rings: