score:8
There are a few places that claim to have the biggest or heaviest balls of yarn, but none of them are in VA:
If that is to far away then take the turnoff at "Natural Bridge" from I64 where you can find Foamhenge, the most accurate Styrofoam replica of Stonehenge. Ranked #2/8 on tripadvisor of all attractions in town.
Edit: According to the tripadvisor reviews, Foamhenge was moved to Fairfax County, VA in late 2016.