I have small fiber neuropathy and I am on IVIG for it. Usually we are insensitive to heat and cold, we don't feel it as much. I can tell you one day I stood in the bath and one foot/leg felt warm and one felt cool. It was very odd. I do have a lot of articles bookmarked on it if that would be helpful. Let me know.

My hands and feet don't have a lot of feeling. My arms from elbows down and legs from knees down go numb all the time, like they have fallen asleep. Also I lose my balance, and my heart rate and blood pressure are all over the place. It's hard if not impossible for me to have any useful fine motor skills due to the loss of sensation in my fingers. Walking is hard because my feet can't tell their place in space, due to lack of feeling. I'm sorry you are going through this with your daughter.