If you enjoy getting your teeth knocked out, go with the Winchester 70 XTR. My granddad has one in .30-06, and even that cartridge is a nightmare with the factory plastic(?) buttplate. I can only imagine what it's like in a .338WM.
He's since put a LimbSaver on it, which made a world of a difference, as you can imagine. Still, there's something about the gun's balance that's just a bit off to me.