Ken, I like your answer & would like to add to it...
To the OP, what are YOUR capabilites? Can YOU handle a big bore? A solid hit with a 338 win is WAY more effective than a close miss with a 378 WBY. I would personally Max out with my .375 Ruger, I still like my .458 Lott but am willing to admit it beats the snot outta me & i'm not used to it.
Granted, your shots will have a limited range, (extremely limited if mama griz takes an interest in your quickly departing backside).
If you can handle a big bore, by all means roll with it, but if you can't (reliably) don't be afraid to step down a few notches.