I don't have hypertension, but have a leaky aortic valve. I take Toprol XL(beta blocker) and Lisinopril (ACE inhibitor) so I don't get so much backwash through the valve into my heart. My BP stays below 120/70, even immediately after exercise.
Beta blockers can cause dizziness and anxiety, so the first two weeks I took 1/2 a pill a day to get used to it. I also take it right before bed, which I think helps because if it makes me dizzy I'm already laying down or asleep.
Your dr may have other suggestions. Listen to her, not us!
Good luck!
c~