You could try to find the shea butter product that you like online, but you probably already thought of that.
My favorite hand creme is Neutrogena Norwegian Formula Hand Cream. The container claims
"just a dab heals dry skin", and i must say, i agree. I keep this stuff by my bed and massage it into my hands, concentrating on the cuticles, right before i go to sleep. My hands are better by morning. Dry hands have been a problem for me for a long time, and this stuff has continued to work for me.
Another thing that i recommend is to wear a hand creme during the daytime containing an SPF. Neutrogena (once again) makes a good product for this. It's called New Hands. The SPF will prevent your hands from becoming burnt and dried out because of the burn. (Sunburn on the hands, in my experience, is very hard to detect).
Hope i helped.