I'm confused. Are we talking about washing the bottles, or sanitizing the bottles? I wash my bottles weeks ahead of time and leave them on the tree.
On bottling day, they're bone-dry. I fill the Vinator bowl with StarSan, and pump the bottle on it a few times to shoot StarSan up inside. I let most of it drain out, then fill the bottle. While that bottle is filling, I grab the next one and do the same thing, but leave it inverted on the Vinator "shaft."
By the time the first bottle is full and it's time to swap bottles, there's just a thin film of StarSan bubbles in the upside-down bottle, with very little StarSan left inside. I just repeat this over and over until I've bottled the entire batch.