Nantahala Weddings and Events has an incredibly comprehensive list of lodging options - whether it's a hotel, rental home, or camping, everything is laid out in this link:
https://nantahalaweddings.com/lodging-lake-nantahala-wedding/
Listed below are the closest airports to the venue:
Asheville – 1 h 50 min
Chattanooga – 2h 14 min
Knoxville – 2h 15 min
Atlanta – 2h 50 min
Greenville-Spartanburg – 2h 40 min
The peace and quiet of the mountains sadly comes with one compromise - minimal internet connection. I would recommend downloading directions ahead of time or going old school and printing them out.
Note: Like many mountain roads the drive up to the venue is curvy and windy - if you know you are someone that gets easily car sick, perhaps stock up on some Dramamine or vertigo bracelets.