What kind of food do you have her on?
When I rescued Tango, his skin was awful! Red, scaly spots, some that were actually oozing, he scratched incessantly, he was bald in places and he shed so much I wondered how he wasn't bald all over.
Other than treating the oozing places with a topical antibacterial ointment, I did nothing other than change him over to a superior quality, grain free kibble. I think I started with Orajen, but I cycle through all the really good quality food so I can't remember exactly. My idea was to solve his skin problem from the inside out...find the cause (inferior possibly allergen producing food) rather than just treating the symptoms.
Anyway, the point is that other than changing his food, I did nothing else. Within three months his skin and coat completely reverted. Turns out he's double coated, who knew??
His skin smoothed out, he stopped scratching, his fur filled in all the bald spots, and his coat became thick and healthy and gorgeous...and all that from simply switching food from the inferior junk he'd been being given to a 5 star grain free food.
He does have environmental allergies, but they manifest in sneezing and congestion.
I can't help but wonder, as your dog is inside primarily, if it's the food you're feeding.