I  bird  hunted, with  dogs, in black bear country for a  long time.
   The few  times I was aware of a bear in the area, what I heard was a lot of crashing in thick cover as a bear tried to skedaddle as fast as he could.
   Black bears  don't like dogs or people- in a woods encounter, a black bear is very unlikely to bother  you unless it's a sow  with cubs and  you get too close to the cubs.  Very, very unlikely when you're walking through the brush making noise, and so is the dog.
   I would worry about something that is more statistically likely to happen- like a car accident on the way to your hunting area, being hit by lightning, bee stings, etc.