General backcountry permits are $4/person/night with a maximum of $20/person. "AT thru-hikers" are required to get a $20 permit. Permits do not seem to be required for anyone if you do not stay overnight. Hammocks are not permitted in the shelters, but are permitted at backcountry camp sites. As there are no camp sites on the AT, that pretty much means no hammocks in GSMNP for AT thru-hikers.
http://www.hikinginthesmokys.com/appalachiantrail.htm
71 miles is an awful lot to thru-hike without staying overnight. The above site claims most people take 7 days to thru hike it.
You can also get a permit online:
https://smokiespermits.nps.gov/index...PermitTypeID=2. This lays out the rules quite well.
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