Ditto Browning BAR
They make one with a synthetic stock and stainless action but I think the barrel is not stainless, not sure.
I have a friend who has a BAR in 7mag and he takes an elk with it every year and it never jams.
They are a little heavy, but with a .338 that may be a good thing, plus the action takes out a lot of the recoil as well.