I have right side too only it is the lower right side, most of my lower lip inside of mouth jaw cheek.
any meds help you ? are you seeing a neuro ? what about a pain management doctor? A pain doctor helped me the most. maybe you can get your doctor to refer you to a pain doc???

anyways the cold and wind are evil. I can handle the heat and find hot baths and heating pad on that area help me..maybe for you like it is for others a cold compress will help.
I gotta go off to work now but will check back later tonight...check you messages i sent ya some info.

PEACE
BMW