I'm not convinced that bears are all that fast....I've watched barren ground grizzlies repeatedly try to catch caribou calves that are a few days old...maybe a week....but without a close ambush, the calves repeatedly outran the bear.....of course that is open tundra.....the element of surprise is essential for a bear to catch most adult members of the deer family IMO.

And for shotguns, I would prefer the Brenneke or some hardened slug for bears but I had a supplier of free 12 ga slugs at the time.....