@sensitive - What you describe sounds a little like the symptoms of Erythromelalgia - Erythromelalgia: The syndrome of red, hot feet (and sometimes hands) - https://www.mayoclinic.org/erythromelalgia-video/vid-20153039.

@jamie19901 started another similar discussion here and may have some suggestions - https://connect.mayoclinic.org/discussion/neuropathy-in-feet-1/. @jlander, also mentioned similar symptoms in another discussion here and may have some experience to share with you.
- Peripheral Neuropathy vs. Erythromelalgia: https://connect.mayoclinic.org/discussion/peripheral-neuropathy-vs-erythromelalgia/