You might want to try our homeopathic DERMA-IONX. I would add 10 drops to the breakfast and supper wet food. It reduces skin irritation. I would also give PROBIOTICS and Omega 3,6,9. These aid the skin as well.
What kind of food are you giving? I would use a grain free food that is turkey or fish based. In Chinese food therapy these would be more cooling choices to off set warm skin.
Also find out when the last tapeworming had been done. The presence of tapeworms can cause a lot of skin symptoms.
There might also be an hormonal component that might need to be addressed depending upon what results you get from doing the above. I would try these things before setting an appointment with your veterinarian. Country veterinarians are usually less expensive than ones in the city. Around here office visits are $45, but they will charge extra for every thing they do.
Please let us know what response you get from my suggestions