I too suffer with hbp and on meds. I recently did a 10-hour flight and had absolutely no problems with it - felt great in fact. I did mention it to my doc before I went on the trip and because I was anxious about it she prescribed .25 Xanax just for the flight which i didn't even use. The other thing she told me (cause it was a long flight) was to take some asprin which I did. I really think you will be fine.