It really does sound like anxiety. I have similar symptoms and my bp and hr will read similar. Since I'm older, my bp is more responsive to distress and does fluctuate, and it's also affected by my acid reflux. My heart rate definitely rockets upwards when my anxiety kicks in. You can't fool your body.
Best tip I have is to relax, maybe even keep a journal of when/where these happen and what you eat, drink, or anything else you feel will contribute to the attack cause. While they're happening, take deep breaths, and do your best to let your neck and shoulders go slack and relax those muscles. Sit down and close your eyes if it helps. But rest assured, the attacks don't last, they all pass :)