According to the Blue Ridge Parkway tour guide, the free book you can pick up at Mabry Mill and many other stops along the scenic drive, the Galex lies just north of the Parkway shortly before you reach North Carolina.

Galex? Isn’t that supposed to be Galax?

Yep, but the map in the center of the guide misspells the city’s name, calling it Galex.

Elsewhere in the guide, Galax is spelled correctly, but the map shows it as "Galex."

You’d think the folks who run the Parkway would know better. At least they spelled "Floyd" correctly.