My NuTone fan says that it's UL approved for over shower use when wired with GFCI circuit. Would it be acceptable if I ran the fan power wire first through a plain face (non-outlet, but outlet sized unit) GFCI unit, through the switch and to the fan with nothing else on that circuit? I know that I could probably run it after a GFCI outlet but I like the idea of it being on an independent branch with it's own protection. Thoughts?