I'm a big fan of using the same model for everything. If you can get a 375 in the same model as your 338, that would be the bee's knees. Muscle memory and auto pilot are pretty handy tools.
Bfly
My .338 and all my other rifles are all Remington 700 based. I believe most PH's prefer the positive feed of a mauser based action. I'm OK straying into the dark side of control round feed.
