I used to hunt everything with the 375H&H, if I was a one gun big game hunter that also hunted dangerous game then that would the calibre I still use.
What, well it has the trajectory of a 30/06 but with a hell of a lot more stopping power and still is very manageable to shoot.

I'm not in that situation and the biggest game I hunt now are Sambar so the 30-06 is plenty for my needs. In Alaska the only animal I'd be hesitant to stand in front of with one would be a big brown bear but then I wouldn't want to be up close in a stand-off with one if I was holding a 375H&H either.
But at a distance I'd hunt one with a 30-06 no problem. With modern bullets and the sheer variety of them that one calibre can do all but the dangerous game.
I've loaded mine with trailboss and 110gn HP's for small game, even with 110gn semi jacketed pills and that's accurate enough to head shoot small game out to 100m, or won't do excessive damage with a chest shot so it's great for camp meat.
I've got a 130gn woodleigh load that's great out to 500m, although not much past that as the SD starts to take its toll.
I use a 150gn TTSX at a moderate 2800fps for deer and camels along with a 168gn TTSX load I'd be comfortable using on Buff if they weren't coming at me.
I've got a 220gn RN load that's great for close country hunting, it really does it all.

The secret to making it all work is accurate return to zero scope mounts, with the options we have these days you really can be a one gun hunter if you have the right scope and load for whatever type of hunting you might want to do.

So for Alaska if I Waa taking one gun and doing multiple hunts I'd take the 30-06 and use say athe 130gn load in probably a nosler BT with a 5-15x scope for goat or sheep then switch to a 2-7x36 and the 150gn Ttsx for deer/caribou/moose or black bear and load up either the 220gn RN or 168gn TTSX and a 1-4x scope for grizzly, I might even take a 2-7 or fixed 6x with the trail boss loads for grouse or beaver.

That's the versatility of a modern hunting rifle and scope, beyond that it really doesn't matter if you have a 300WSM, 270win or a 7mm rem MAG, you can taylor just about any calibre to hunt like that.