As much as we all like 1911s, if I was in bear country regularly I'd either carry a .44 or .45 revolver or a modern 10mm that you feel safe with a round in the chamber. "Cocked and locked" works for a lot of folks but I have seen or heard of way too many 1911s being removed from a holster with hammer back on live round only to discover that the safety lever was off. Less of a worry with a SIG or S&W, as much as I dislike plastic pistols.
Not a hunting story, but I was at Field Station Kunia, on my way to lunch when I asked the MP what weapon they were issued, as we still had a mix of 1911s and M9s in the Army then. He said "here" and drew his 1911, racked the slide and let it drop, as a live round popped out, he then buttoned out the magazine and handed it to me!
Once I drew a breath, I safely cleared the live round from the chamber, checked the weapon, closed the slide and lowered the hammer. I handed him the now empty and safe pistol and his live rounds and said "don't ever do that again" and explained all the things he did wrong with that process.