It sounds like overkill on the hand washing. Were you trained to do this much??
Vaseline under soft cotton gloves?
Hand sanitizer can also be pretty rough on the skin, and as I recall, studies show it's not nearly as effective as soap and water.Have you tried Bag Balm? "It's a time-tested solution for soothing and softening chapped and chafed skin, as well as promoting healing of cuts and scrapes." http://www.bagbalm.com/I use it when my feet get rough. It was originally for cows udders, to keep them from chaffing!
Dear PT, how did you get on? Love, Cas