After having several #1s in heavy calibers I would not buy another, I've had the 375 H+H and 458 WM. Although very nice rifles, the stock design does not lend itself to moderate and heavy recoiling cartridges. It greatly increases perceived recoil.
I have 2 X 700 Rems and a Sako in .375 H+H, it is a wonderful cartridge and I highly recommend it as a medium bore in anyones collection. I also highly recommend the 700 Rem, I have hunted over most of the world with 700 Rems and have never had my rifles fail me, not ever. I have shot several head of big and dangerous game with my .375 H+H very successfully and the bullets didn't bounce off because it isn't a CRF. I also highly recommend the 270 gn TSX bullet it makes the old H+H a killing machine out to 300 mts and beyond.
There isn't a cartridge out there that feeds smoother than the 2 H+H belted offerings, none. If you clean your action up and smooth it up, remove any burrs and roughness your rifle will feed so smooth with this cartridge that you will think the magazine was empty. None of this can be said of the Ruger or RUM, both good cartridges, don't get me wrong, but they don't have the sheer feedability of the H+H. This cartridge was designed by H+H for men whose lives depended on their rifles everyday, so reliability and feeding was paramount in the design of this cartridge.
My old Rem 700 .375 H+H is going back to Africa this fall for a lion and bongo and I will not feel the least bit apprehensive because it isn't a .375 Ruger or RUM in a CRF.
Another little known feature of the old H+H offering is that in it's original loadings of 235, 270 and 300 gn bullets as loaded by Kynoch for H+H, H+H guaranteed their rifles would put all 3 weights into a 4" circle at 100 mtrs. This still holds true today, with very little load playing I was able to put all 3 weights into 3" and the velocities were higher than the original loads, however I had the advantage of optics.
I doubt, if you're a gunnut and hunter at all, you would ever regret owning a .375 H+H.
Here's the rifle/scope combo I have bet my life on in the past and will do again many times, God willing.