Hi. I'm Aliza, a BC patient and retired Medical Librarian who offers services here and elsewhere by providing information in the form of advice (usually non medical), referrals to doctors, hospitals/institutions, agencies, etc. and research when required/requested.
I'm by no means the best person to answer your question, I think that perhaps the dermatologist at your treating institution is or if that's nota possibility than a dermatologist that your oncologist refers you to is the best option here.
However, since it is the weekend, I will tell you that as a patient who's suffered from eczema and dry skin nearly all her life, I've been advised to avoid hot and very warm water like the plague and shower only in tepid, room temperature water. Do not use rough towels (make sure your towels have been put through a fabric softener). Pat or wrap your skin dry and moisturize your skin while wet and then dry off (that's advice dermatologists give patients with dry skin [my Derm has been written up as a Best Doc in NY in NY Magazine.]
Do not take my advice as a final say for a substitute for speaking with your own dermatologist or oncologist as I advise above. The suggestion that I give here is only to get you to be more comfortable through the weekend. Hot water is not helpful to skin that's been through chemo!
If I can do anything else for you, please let me know.