I'm thinking you'll need much more ventilation than that to keep it survivable in the summer. I could certainly be wrong though...
From the passive solar greenhouse research I did, it suggested ventilation equal to 20% of the footprint of the greenhouse. I took that to mean 10% low down to let air in and 10% up high to let hot air out. My greenhouse is pretty tall (18') so I think that helps me a lot. On hot summer days (hot for me is 90 degrees), I get by with about 21' by 3' of vents near the ground on the south side and 24' by 4' of vents up high. Those are hinged vents that are only open about 30 degrees but they let a lot of air through. Greenhouse is 20x40.
I'm guessing it gets a bit hotter in VA so your ventilation needs would likely be greater than mine. But then again, mine are passive (no fan).
Retrofitting an existing building is a great idea. One option is to do the roof work this year and then see how it handles this winter. If you want it warmer, add more thermal mass and insulation for next year.
Welcome to Permies by the way
