I had a constant burning sensation on one side of my gums but none of the other symptoms.
I was eventually diagnosed with trigeminal neuropathy - the trigeminal nerve is the one that runs for the side of the face.
A tricyclic anti depressant call Endep works for me to deal with that pain.
I have TMJ too.
I had to see many doctors before found one who knew about this stuff - wishing you luck
D