This might get long...sorry... welcome to YT and I'm so sorry you're baby is suffering like this, I hope you can find a solution!
Okay...first, keep in mind that skin is an elimination organ - so it is showing that something is *really* going on here, from the inside - from a toxicity standpoint (meaning, the body is really out of alignment - understatement, I know

). Also, it is highly, highly likely that your baby has yeast overgrowth throughout the digestive tract (like what happens in humans w/ chronic yeast symptoms), so treating topical issues (ears/skin) won't do anything in the long run. You have to treat her entire system, at this point, for yeast infection (candida).
There's so much I want to type, I have to pull myself in here - bc I've been similarly in your shoes. Are you willing to make real food for her or are you firm on giving kibble/dog food? It would be the best to get her on a homecooked white-fish based diet immediately - it can bring miracles to dogs who are in *real* trouble, as yours is - it is truly the most hypoallergenic diet you can provide (white fish, mashed white potatoes, steamed/pureed green beans).
If kibble is a must - I would get her off the science diet asap and instead get her on something entirely grain free and simple like Wellness' allergy kibbles, here is a whitefish kibble meant for allergies:
http://www.wellnesspetfood.com/dog_w...h_sweet_potato.
I would hold off on Missing Link for now. Once allergies subside, you could try fish oil (more on that some other time) - but no oil during diarrhea, obviously. If you are willing to homecook, let me know - as there are more details involved.
While she is stabilizing/healing, you'll want to give some quality supplements to help her system heal, normalize, repair - so that she doesn't revert back to her previous state. So, this is where stuff like quality probiotics come in - and digestive enzymes, and a good vita-mineral (and some others).
I cannot recommend highly enough the animal nutritionist I worked w/ (via phone consult) when Marcel had all of his problems last year (I'm a nurse, was at the end of my rope, spent $100's at the vet, was out of ideas). Her name is Susan Blake Davis (
www.askariel.com) - and she had Marcel's poos firm after 1.5 days. I think I cried, lol! She is so wonderful. She also can recommend the right supplements to help Zoey heal properly too. I only wish I had called her earlier rather than spending more junk money at the vet. She does, btw, work at a holistic vet practice and consults nationally.
I've probably overwhelmed you - but I could write even more!

Anyway, I'll check in - so if you have more questions, let me know!
Ann