Another loop hike near Neel Gap is the Coosa Backcountry Trail (13 mi) which starts/ends in Vogel State Park. You can also extend the loop by hiking over to Blood Mountain to catch the view. You need register at the Park office, but it's free.
Also, if you want a nice full day hike, check out Unicoi State Park nearby. The Smith Trail (5 mi ?) takes you to Anna Ruby Falls - you can hike the trail back or walk the road.
You can check out the parks' websites for more info.
If you want to venture into NC, kk4df suggested the Standing Indian loop - that's a great one.
Another option across the border in NC is the 29 mi section on the AT from Winding Stair Gap to the Nantahala Outdoor Center. Two observation towers and a big bald for great views, and you end your trip at a restaurant on the river.
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