I mostly wash Princess' eyes before the bath with a tear stain solution and it usually washes most of her face, that way in the tub i can get it wet very minimally as she's a raging lunatic whenever she even hears the bath running. After all that drama her face looks and smells clean.
also for the snipping i've heard it can be effective to kind of shriek like your in pain and that should warn her, just like her mother did.