I don’t have any real concerns about bears.
First, at shelters where there have been frequent bear problems, there is a bear line, bear box, or something else to keep your food out of harms way.
Second, bears are only problem in isolated areas where they are protected such as New Jersey (no more), Shenandoah National Park, and Great Smokey Mountains National Park. Elsewhere, they are tend to stay away.
Third, bears are creatures of habit. They know where to find food. Sleep away from the established sites and you will seldom have a problem.
Peaks