Excellent observation. You should be fine with a warm damp towel or warm wash cloth wrapped in a towel and some light handling to get the skin off. the trick is to get moisture between the layers. Don't worry too much about the caps yet if they don't come of yet, it's layers of caps we are to fear.
Have you tried a lower wattage bulb, or slowing the airflow through your enclosure. It worked wonders for my "too big" enclosure. Also I keep a lamp on a dimmer right over the water for ambient and humidity boosts.