The only thing I did not like about my Talkeetna was the 24" barrel. I think 21" or 22" to be a more user friendly length for the purposes the 375 H&H is typically used, although my hunting experience with the 375 is very limited.
I did not find the recoil of the Talkeetna any different from the Winchester 70 classic stainless I had, and the Winchester had a McMillan stock that was fairly light weight.
While I haven’t hunted Alaska, I’ve hunted some fairly thick stuff here in Wyoming and haven’t found my 24” barrel to be a great handicap.
Another plus going to the Talkeetna is the forward sling swivel is on the barrel rather than the stock. This offers two potential advantages: when the rifle is shouldered, while that should be rare, the muzzle is considerably lower when in overhanging limbs/brush! It also prevents the front swivel from contacting your hand during recoil, should the stock slip because of a poor grip, or a wet slick stock!
A small item.....but, something to consider!
If kept as an H&H, not an improved H&H.....recoil should be a minor issue. Nine pounds or less ( hunting weight) with the improved versions, it is a bit aggressive when shot from the bench! But, certainly not brutal! memtb
