Virginia is the fifth highest wine-producing state in the country, and of all the vineyards there are to visit, Barboursville should be on the top of your list, with award-winning wines (my favorite is Phileo), a great tasting room ($3), and beautiful grounds.
Palladio, their restaurant, has delicious food! I recommend lunch for the value. As they have an open-bottle license, this is another picnic favorite. I like to sit at the ruins and look out over the vines. Rarely will you have fellow picnickers, so the place is yours.
When you go, ask for Luca, the winemaker. His passion for wines will ignite yours.