welcome to health care magic.
Since you experience pain at rest and not during activity this is not a case of mechanical disturbance/ irritation. As per your data scapula
(blade) has no articular surface on the thorax. Scapulo-thoracic joint is known as a functional joint rather than an anatomical joint. So we can not think of any inflammatory arthritis
as a cause of your burning pain. There is no bursae in that part of the body which could have been a case also. Since there is no complaints of lack of muscle control/ weakness, numbness
there is no chance of neuropathic, nerve root
irritation. There is no signs of vascular conditions also......
Hence Your burning pain is a cause of deficiency in vitamins/ minerals/hormones/calcium or frostbite.....
So supplements rich in these things whether in natural form or in tablets would be more helpful for you.
Wish you a pain free back soon..... have a nice day.....