The frequent washing will not benefit this condition. Normal amount of hand washing is OK. Too much may remove protective oils of the skin. I would recommend that you might try Vaseline at night. Continue the hand moisturizer. Consider seeing a dermatologist. I would be in favor of you being tested to rule out scleroderma which is an autoimmune disease that causes hardening type changes of the skin and a host of other problems down the road. A picture might help but may not be enough to make a diagnosis.
I hope this information helps. Further questions are welcome if you have others. I will be happy to get back with you if you have others. If my answer has been helpful and to your satisfaction then please remember to press the "ACCEPT" button. Thank You and Best Regards,
Anthony Bray MD
You are welcome to send a photo.I can take a look.
For the time being try the Vaseline at bedtime and try to get in to see a dermatologist as soon as you can.