When I started flying, I found out that my doctor was also one of three AMEs in town. Kept using him, it was easier. Had a physical every year, on the old insurance plan. One year was just a physical, the next was my FAA physical.
Never had any conflict in the seven years before I relocated 600 miles away. Had the job not changed, I would still be using him for both.
Whenever there was a problem, I knew that he would take the FAA regs into account, and not do something stupid that would cause problems for my next physical. Also, I doubt that a single BP reading of 135/96 would be DQ, as I've been borderline for a couple of decades but am still med-free. Unless it happened during a flight physical . . . then there are still retest options that day. Maybe you're stressed from driving [typically causes 10-15 point rise]. Wait a while and retest. Once I had the pleasure of laying down and talking to a nurse for about 10 minutes before suitable readings came from the cuff, but I do not have a history of high readings so something unusual was happening on that day.
If your doctor suggests a new treatment regimen based on one event, find a new doc. Primary care, specialist, AME, surgeon, it don't matter--some things require actual thought, which is being systematically eliminated from many rules and regulations in this country [can you say "zero tolerance" in schools? I'm sorry, your 6 year old son made a bad drawing of a gun, he is suspended because we have a zero tolerance policy for violence. Since when is a drawing violent?]