@burcinc-- I don't have pain in my outer ear, I have pain inside due to eardrum damage from chronic ear infections.
Have you tried acupuncture for your problem? I'm not a doctor but I have a relative who experienced something like this and she found a lot of relief from acupuncture. The acupuncture specialist told her that she has a compressed nerve in her ear. You might be experiencing something similar.
I think you should keep bothering your ENT specialist until you get a diagnosis. If your current doctor cannot figure it out, you should be directed to another specialist. I don't think it's good enough for a doctor to say "I don't know" and not do anything about it.