I'll paste in a list below of contraindicated medications. Some people are able to use lower doses of the medications like beta blockers without a noticeable increase in myotonia, but almost everyone reacts to the statin drugs for cholesterol.
I would just advise discussing the pros and cons with your doctor and experiment, starting with a lower than normal dose.
If you want to try supplements, I would suggest magnesium citrate (250-500 mg per day) and an amino acid called L-Citrulline (500 - 1000 mg per day). The citrulline is especially effective in hypertension related to diabetes and COPD.
Since there are different causes for hypertension, the best treatment will target your particular cause.
I don't have diabetes or COPD, but have had a lot of stress this year. I am a nurse and work in a very busy ER, and my BP at work is usually quite good no matter how busy it is. Unfortunately I have "white coat syndrome", and when I go to see my doctor, it is usually high 150/90 range. The nurse there does a cycle of 3 pressures over 10 minutes, and the 2nd and 3rd pressures are much higher. I explained to her that after the first one, my bicep starts to spasm, and by the 3rd it is rock hard. I am pretty sure that this affecting the reading? I can usually feel when it is up, like when I walk into his office. I am just finishing a month of Coversyl 4 mg daily, and I am not happy with the side effects. After about 3 days I started having the irritating dry cough, that randomly happens, and the the increase in muscle twitches. I have an appointment tomorrow to talk to him about this. Thanks! Judy