Recoil is unimportant in a hunting situation or a reactionary, save-your-ass-from-a-pointblank-grizzly, type deal.
My all-time favorite cartridge in grizzly country, is the .338WM.
My go to rifle, is a M-700 .338WM, that I had re-stocked in a Wildcat Composites stock, with a 1.5-6x Bausch & Lomb Balvar scope. The rifle is light, scope is appropriate for application. It's the ideal moose-grizzly rifle in my opinion. Normal bullet is a .225gr Nosler Partition at ~2800fps MV.
I've probably shot more big game with that rifle & cartridge then any other, that I own.
Back to the recoil thing.
The one constant experience I've had over the years, is after I've shot a big game animal, I don't really remember having felt recoil, or even the issue of the sound. I've shot game with everything from a .270Win up to .416RM, and the results are the same. I don't notice the recoil at all.
And I bet the vast majority here will say the same.
But if you are truly one of those people that walk around worrying about the recoil of the rifle that you're carrying, then it's definitely time to get a smaller cartridge. You've got to carry something you're comfortable with... whatever that is.
It's getting around to my favorite hunt of the year; black bear.
I shot this little fellow in 2010. The rifle is a ZKK-602 rebored and reamed out to .416RM (from .375H&H), with a Leopold VariXIII 1.5-6x scope. McMillan stock.