Between the rifles listed and nostalgia aside, I would go with the Ruger Alaskan. I spent quite a bit of money to have a .375 H&H built on a Mauser that basically matched what Ruger introduced as a factory rifle a few years later. I love my Mauser and am not planning to buy a .375 Ruger, but given the choice today, I would save some dollars for a hunt and go Ruger. The Ruger package, including the more compact cartridge, is just a nicer hunting rifle than factory H&Hs.

Given that American hunters seem to be using the Ruger cartridge, I expect any ammo concerns will correct itself with a little time. On the other hand, if the nostalgia of hunting with an old cartridge is REALLY important to you, you may want to go H&H.