How about the .243 for Grizz?Phil Shoemaker thinks it would work with quality bullets.

All the years I guided both sheep and grizzly hunters in the =hugach, Talkeetna and Brooks ranges I never ran across a grizzly that I would have been hesitant to shoot with a .243 Win. with quality bullets. I'm not saying it is what I would choose or recommend but have no doubt I would have been 100% safe from any grizzly in open country.

Then the lowly .223 should kill Elk just dandy,they don't bite back.

Jayco