You are confident that the peeling is EC because of dermatologists etc.. dermatitis/eczema is just inflammation/irritation of the skin..in the case of Psoriasis it is an autoimmune reaction.. the question in all cases is why? Certain people may be more genetically predisposed to developing this condition but they don't occur without other environmental conditions/toxic exposure/factors. Don't you want to know why this is happening to you rather than try another atopic treatment?? Why don't you get a full thyroid check up + adrenals like I am ? Have you had this done already?
All immunosuppresants work the same, they suppress the immune system.