Bugeye - I worked in a Alaska Fish and Game camp once where we had a bear destroying our weir every night. 1973.
So the senior 2 crew staked out the wier.
A smallish very dark bear showed up, figuring it was a black bear, they shot it w a 338 win mag. It died prett quick.
Upon getting better light on the bear it turned out to be a small dark sow brown/ grizzly bear.
One of the guys carried a 357 and with the bear down he put a couple in the neck at maybe 10- 15 yard to see the effect.
Next morning we skinned the bear.
I found the bullets - 158 gr jacketed, up against the neck bones, very sligthly mushroomed.
The bullets had penetrated the think neck hide and about 4, at most 5 inches of neck muscle.
NO damage to the neck bones at all - no cracks or bone damage and not that much damage to the muscle either.
It did not look to me that the 357 would have done much except make the bear mad.
Of course 1973 ammo is nothing compared to today's ammo but still performance was poor.
At minimum, I would want the heavy hard cast 180 grain loads.
Now a chest shot might have been more effective but it wouldn't be a stopper.
The butt stock and 20 inches of barrel is probably a better bet.