I remember having chilblains in my feet during winter when I was a teenager and had to walk quite a way to the catch the bus to school. I did suffer and remember the pain was like a throbbing irritation that just wouldn't go away.
My Mum or Nan said I should try an old remedy which seemed to work, I know it didn't do any harm - which was to soak my feet in urine. It sounds awful I know but I was so desperate to get some relief ... oh, and of course it was my own!!
Don't know if you are game enough to do this with your hands though!