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I am not sure about what birds you may see but you might want to check out the Cumberland Plateau area around Tracy City, specifically the Stone Door Ranger Station, Fiery Gizzard and Savage Gulf areas . There are numerous waterfalls in these areas as well as canyons. There are ample hiking trails here as well with all manner of difficulty for the hiker, from easy to strenuous. Foster Falls is south of Tracy City, 60' high and about the same in width. With all of the rain down here lately, all of the falls should be roaring. Check with the ranger station between Monteagle and Tracy City for directions and maps. You might get to see some birds, but this time of year may be limiting to you, so check out the places I mentioned above for the scenery at the very least.
Hope this helps.