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.