The Davis Path Shelter is only a 2.7 miles south of the Groseclose exit off I-81, just north of Atkins. There is a picnic table and a sunny exposure, although the AT runs through the slanted front yard.
I never did recognize Davis Path itself, but at the time I was rushing SOBO trying to catch up with someone who might be able to give me a shuttle back to Roanoke (turns out they were going south).
The Trail passes through a meadow 7 miles north of the shelter (soon after a road crossing) that merits rain pants and gaitors if there is a lot of dew or it's been raining.