I've found that the really painful areas are the ones where it looks like a blister has popped and that tender new skin has no protection. Bandaids on just those parts, it's right where the skin folds on itself in the thumb and forefinger area, help tremendously. It also seems to heal that skin faster.
I use the ice packs when it is unbearable and try to wean myself off after a while. Also, the more I use my hands, the worse they feel. I'm very blessed in that my dear husband has taken over most household chores.
I truly feel for you. My worse day is the day the pump comes off. You would think that yours would clear up after being off chemo for so long.
Maybe a dermatologist can help? Please keep us updated on how you're doing.