I think it's wise to be prudently concerned. I wouldn't let it stop you or her from going out to enjoy your outdoor sports.
You're right I think that in most cases when a black bear hears you coming from a distance, they'll avoid you and go the other way.
The concern is you obviously don't ever want to surprise a sow and cubs or an old bore that has lost it's fear of people (e.g. been around campgrounds, dumps, etc.)
Check with the companies who make bear spray that is often carried by people in Grizzly / Brown bear country, whether it is an effective deterant for Black bears, too. I honestly don't know.
The bad part about Black bears is that unlike Grizzly bears, where you mightin an emergency be able to climb a fir tree high enough to get away from a grizzly, if you had time, even big Black bears climb very well.
I personally think buying and learning to use an adequate sidearm is the best solution, if it's that much of a concern and it's possible.