Treatments for Neurodermatitis

I have been suffering from a skin rash for about 10 years. A large patch of my skin constantly itches, and the skin is thick and feels like leather. I have gone through almost every ointment on the market, and none works. I went to a new doctor and he said that my rash was neurodermatitis, and the best treatment would be an antidepressant to stop the scratching. I am a little skeptical. Have you ever heard of using a mood-altering medication to treat a skin rash?