I live in bear country and can't put out my trash the night before pickup, or they'll get into it and make a huge mess. They come through my yard at night and are a pain in the butt.
Forget the 00 Buck and go with rifled slugs. My wife and I have been cornered by an ornery bear while walking the dogs behind our house and the 9mm I had in my hand got smaller as the bear got more aggressive. When he finally tired of the game after about 20 minutes, the 9mm felt like a .22. You haven't lived until you've had a bear "posture" back and forth in front of you, letting you know he's boss.
A well placed rifled slug at close range will handle a black bear just fine.
Hope this helps.
Fred