This is such a difficult problem. I know, because I also went through years and years of trials of many, many anti-hypertensive meds. Many of them had no effect, and many others made me feel sick or faint. Frankly, I would rather have died! So I declined prescriptions for a number of years.
However, just last year, my PCP suggested I try a newer one, Bystolic, at a low dose of 5 mg, and to my amazement, it is quite effective, but has almost no side effects for me (well, maybe just a hint of asthma), and I actually feel well on it!
It's a bit pricey but my insurance helps a lot.
You might ask about it. Of course, your mileage may vary, etc., but I am what is considered a 'difficult patient,' and I'm doing better than OK with it.