Even if we assume TC went somewhere on foot, it does seem like a very complicated area to search, what with the wooded areas, the trails, the water plant, the highways, and the railroad tracks. There are also various other places including the Bolton Academy, restaurants, industrial facilities, businesses, boarded up buildings, etc. I notice that the Atlanta Mission -- I think it's just the administrative offices -- is on Bolton Road.
It might be useful to know where TC habitually went in the area, whether jogging or walking.