Even a minute would be too slow. The 7am drop can go in seconds. In November, I waited two seconds (on purpose), and got a BG that was called at 1:45pm.
One tip for the future: they're not currently enforcing return times, so any bg is fine after it's been called.
You may still want to jump on it at 1pm. I can't tell if the 11am opening is a factor, but on Thursday, I hit the VQ exactly at 1pm, and got a bg that wasn't called until 6:30pm.