Hi: I’m from Florida too, Tallahassee. I would suggest the following. Drive up to Dahlonega Georgia, spend the night, arrange for a shuttle to meet you at Unicoi Gap, leave your car there and have shuttle take you to Neels Gap (they have shuttle service but don’t know to or from where (706)745-5111 (actually you good spend the night at Goose Creek Cabins (same number).
Your hike would be from Neels Gap to Unicoi Gap whcih would be a 20 mile trip. You could spend your first night on the trail at the Whitly Gap Shelter, nice water and use to be a grassy small area slightly beyond shelter. This would be about a 6.3 hike, not very long, which may be something to consider since you sound like this may the first hike out and not knowing you or your wife’s hiking history or fitness.
Once you get to Unicoi Gap, take highway south to Helen and enjoy a neat little town.
Have hiked this section many times in late September and water and weather and views have always been good. Plus this section provides some good climbs along with numerous level spots.
Good luck, I will be out in October duing the Dick’s Creek Gap to Unicoi Gap section also, may see you there
Penscal