I don't find the recoil of the 375 H&H to be near as bad as a 12ga slug gun. A few years back I shot about 25 slugs from the bench and my shoulder turned rainbow colours within a couple of days. Later, the first time I shot my Browning 375 H&H I was thinking it would be worse, something like the 577 T-Rex video, and I was all hyped up expecting to be punished. It was stiff, like a real rifle, but not near as bad as the 12 ga with slugs, and not a lot different in the field than say a 300 Win Mag. The talk about a big "push" as opposed to a snap makes no sense from a scientific point of view, but I have to admit that when compared to my 300 RUM, the words push and snap do come to mind.
The recoil tables don't lie, but most shotguns are designed to shoot birds and the stock design does not lend itself well to slugs, so the way the recoil is translated to your shoulder is poor.
IMO, anyone who can handle a 30/06 can learn to shoot a 375 H&H without a flinch.