Hi Pang - you have my sympathy! As yes, it does sound like nerve damage in your feet. I had it for decades, and had no idea what it was. It was only once I was diagnosed and started reading up on T2D that I realised that awful thing where my feet felt like they were burning up, especially at night, was actually nerve damage. My doctor in NZ didn't take it seriously (not really her fault - she just didn't believe I could have had such damage before diagnosis), and I didn't get a neuropathy test here, but my diabetes nurse and doctor in Sweden did, and I go that test (but not a retinopathy one! But did in NZ. Isn't it a hoot?!)
Anyway, apart from language issues, the podiatry test was totally painless, involving a vibrating thing, and an electrical thing - no needles! And I got a very good report that covered where the nerve damage was. After over 30 years of this strange overheating of my feet - I was greatly relieved to have that report.
Cooling creams, massage sandals, fans in the bedroom, cooling pads out of the freezer, ice cubes wrapped in a wet towel, and good shoes and socks make my life bearable where otherwise it would not be! (As anyone with nerve damage can tell you.)
My HBA1c/BG seems not to affect this condition. I may have had nerve damage originally caused by toxins in the environment, more toxins later, and then increased by insulin resistance.
I will try to do the ALA supplement soon (I need to get some money to do it as it ain't cheap!), and see if that helps. Studies, etc, support the use of ALA in terms of relieving the pain/burning etc.
Good luck!