Generalized drug reactions can indeed lead to extensive peeling, but I am not aware of a circumstance in which the peeling should continue or even get worse. I'm not sure whether you are describing the tail end of the reaction, or whether you developed some different, unrelated skin problem. I think a visit to a dermatologist would be a good idea. In the meantime, moisturize as much as possible (vaseline, Eucerin, or whatever you like.)
Best.
Dr. Rockoff