So short term- foot powder/ cream.
Long term (when I can get an appointment) see the doctors rather than the foot person or can the foot people issue prescriptions?
I had feet like yours last week.
Im in Spain and its warm.
I ware Sketchers Go Walk and put them in the washing machine.Im not used to the washing powder here.so it may have been that and not waring socks.
I peeled the dry skin off and rubbed Vasaline on each day and they are fine now.