I own and also have a freind that owns a .375 H&H Mod. 70 Win. Well come to think of it they are the Super Express models, not the new Safari Express. I am perfectly happy with mine though, well the trigger needs a little work but that's it. Ironically I have owned 2 winchesters in .458 and they both had stock problems, but Winchester has awesome service so no problems there. The heavy recoil of the .458 caused the problems in both stocks, but the .375 no problems at all. Nice styling, controlled round feed, I think you will like it.
The recoil on my .375 isn't bad for a .375, my first one was a Remington that weighed about 7.5 pounds, now THAT was too light lol! 8.5 I think is just right for .375, but now the .458 in that model also weighs 8.5, and recoil is a bit much.... (oddly my old .458 in Super Express kicked alot less than my newer Safari express, although the old one only had a 22 inch barrel)