Not sure. It doesn't sound like psoriasis to me either.
CommonCommon cold palm rashes include variants of eczema, but these aren't associated with joint swelling.
I think a thorough evaluation by a skin doctor and arthritis specialist should be considered. If blood work hasn't been done (to check on arthritis variants), it should be. Good-quality photos may help, in case the appointment doesn't coincide with an outbreak.
Best.
Dr. Rockoff
ASR