The 375 Ruger is the cartridge that I would have chosen over the 338 Win Mag if it came out 30 years ago. I did buy a 375 Ruger last year for a build. It was pleasant to shoot before I sent it off for a 500 AccRel rebarrel.

The 375 Ruger cartridge is a beautiful design and should be supported and chosen over the H&H. It is about an ideal capacity for the medium bores, efficient by filling out the body, and not demanding extra length in the action. While the 375H&H is a great cartridge, the 375 Ruger is better. Yes, that means a commitment to handloading, but such a commitment is necessary for tailoring any hunting load, especially as one goes above 338 calibre.

When the question moves on to the 416 calibre I am mixed.
The 416 Ruger is a great cartridge and design in the Alaskan Hawkeye model. I would handload 350 grain TSX or TTSX at 2600fps or a lighterweight CEB tipped non-con at 2800fps. My problem is that I love shooting the 416 Rigby with 350 TSX at 2825fps (6200 ftlbs). If I didn't have the Rigby I'd go with the 416 Ruger and save a pound of rifle weight. Maybe. I really like the Rigby. The bullet seems just the right size in one's hand.

So what would I recommend? Maybe the 416 Ruger in Alaska and the 416 Rigby handloaded as above in Africa. For elk the 375 Ruger is about right, with 250-grain TTSX or the newer CEB tipped non-cons.