In Seward lowell canyon, though you have to hike far enough back to make sure you are out of city limits, or box canyon in the resurrection valley. Though I wouldn't want to hunt black bears in seward in september, cause they are into the salmon.. yuck.
Once you get to seward or valdez along the coast you are going to see more black bears than on the drive there.
If you want to get out and hike, hunting river systems or high tundra areas will usually produce bears.