And this from the ATC site.
The Appalachian Trail is now officially closed across the approximately 700 miles managed by the National Park Service. Because of the shutdown, all National Park Service – Volunteers In Parks (VIP) and USDA Forest Service - Volunteer In Forests (VIF) volunteer programs will be terminated. Therefore, for the duration of the shutdown, the ATC will not be able to engage with volunteers in activities on the Trail, Trail facilities, or Trail lands. We also are required to close our visitor center in Boiling Springs, PA.
Other than SNP and GSMNP where else does the trail go through NPS land?