VORDME: It sounds like you may have "White Coat Syndrom" when ever you're near a Doctor your pressure goes up. My Doctor has to take my pressure a couple of times to get a normal reading.
Your Aviation Medical Examiner could probably counsel you on a list of drugs which are approved for flight crews should you need them.
May be try running a couple of miles a couple of hours before your medical to help get the endorphins going which should have a relaxing effect.
P.S. I'm not a medical expert just a fellow pilot who HATES medicals.
Best of Luck.