Raw meat diet is the real deal. I've never had excema problems but I pass white threads in my stool when i eat raw meat + dark leafy greens. I never passed anything by taking natural antifungals or fluconazole.
When i start eating cooked meat again, i stop passing white threads. Same thing if i eat any fruit or non-leafy-green veggie, which are part of the raw paleo diet.
So, in my experience:
Good: raw meat, leafy greens (kale, spinach, collard). The more greens i eat, the more white threads i pass.