First, I wouldn't be too concerned about Black Bears to begin with. There are fewer than 10 attacks on humans documented in the past century by Black Bears so it just isn't anything to be concerned about.

Second, whether you can or cannot carry a concealed firearm while on your own property is a matter of state law and nothing else.

Shootout with a Black Bear? This has an absolutely zero probability as it is absolutely certainty you will not come upon an armed bear in any situation. Or did I take your remark too literally? LOL