Lotrisone is an antifungal and cortisceroid. It’s doubtful your hands have a yeast infection, unless it might be an area where a ring keeps moisture trapped, something like that. But, if you really feel your hands are red from yeast I think you should try an antifungal that does notcontain a steroid, because the steroid will reduce swelling and you won’t know what the hell is working because lotrisone has both drugs. Plus, you did not describe redness, but dry and peeling. Usually an infection would have some redness I would think.
Why not go to the drug store and by Eucerin lotion, many doctors recommend it, and use it definitely every night, but also throughout the day. See if it gets better.
Are you washing your hands a lot?