RE: minimun for grizzly/brown bear
If I was paying $10k+ for a hunt, there is no way a "minimum legal" or "get by" cartridge is making that trip. Alternatively, in a "no cost" or backup arrangement, there is no way those cartridges are going either. I doubt you could find a guide who would take you on a brownie hunt with a .308, for good reason. I say .375 H&H, but since I have a .416 that would be the gun taking the shot.