I agree with this request every time I see it. We know it's there, since there are races that can't wear them. Just give us a checkbox that allows us to act like our character is a Togruta, Kuubaz, Trandoshan, etc. Call it "Hood Down" if you like, but the tech is already there.
"Hood Down" would be a bad name, since it would almost certainly just *hide* the hood, just as the current set of helmets and species do. (In no case do you see a visible "downed" hood for up-hood gear and those species / helmets.)
It should be called "Hide Hood".