You should not use Neosporin because your dog will try to lick it off. I do not like to feed raw chicken because of potential salmonella exposure. According to Chinese food therapy cooling foods would be preferable such as fish or turkey. I would look for a commercial grain-free dog food using one of these protein sources. Chicken and venison are warming so that is why I wouldn't select these right now. Small dogs usually have sensitive stomachs so gradual adjustments to the diet are preferable.
You might want to look at some of our products to help heal the skin. Derma-IonX which is an oral homeopathic product stimulates the enzyme systems in the body which reduces itching and inflammation, promotes healing of the skin and helps with assimilation of nutritional components in diet and supplements. The supplements I use along with it include Canine probiotics, vitamin C, MSM, and Omega 3,6,9. Together with Derma-IonX it produces a synergistic effect for a faster response. I would also suggest that you give your dog only filtered water for drinking and bathing if your water contains chlorine or fluoride.
Defendex shampoo which is nontoxic washes away debris and soothes the skin. Using these products is a simple and effective way of helping resolve a difficult condition.
Please feel free to contact us again if you have any other questions.