My current moose hunting rifle is a Weatherby MK-V in .300 Wby, 9 1/4LB unloaded. I shoot either 180gr bullets at 3,300 fps or 200gr bullets just shy of 3,000 fps. I am expecting recoil of the .375 to be a little heavier but a little less snappy than my .300 Wby. However, recoil while shooting at a moose is not what scares me, lugging a boat ancor through the woods for a week and a half is.
I have handled the Winchester Safari, but in .458 Win. It is a VERY nice rifle, nicer than my Featherweight is, but I found it a bit too heavy and balanced towards the muzzle (a scope would change that balance, or course). Also, like I said, it was way nicer than the Rugers I've checked before. I am hoping the .375 will be a little lighter and better balanced, but I haven't found any locally so that I can handle it a little.
I have hunted with my Weatherby configured at 10.5 lb loaded and I know I can do it. But, even though I now get a little more recoil, I much prefer the 3/4 lb lighter rifle when hunting. I know at the range it's a completely different story, but I can handle 40 rounds of .300 Wby at the range just as well as 40 rounds with my Featherweight in .308. No problems on that regard.
If I can get the Winchester set up at 10 3/4 lb max, I'll go for it, otherwise it'll be a Ruger African for me. Fingers crossed!