So been there and done that. A couple of years ago I was living to take my bp. I was taking it sometimes 30 times a day waiting for that "good" number which for me was 115/75 or below. I don't have high bp, never have. I just had a few higher readings at the docs like you. I bought a monitor and wouldn't stop taking it so my husband threw it away. Then I began going to several different groceries and pharmacies to take it. It was awful. Finally, I began to wean myself off of it, I started going once a week, then once every two weeks, and finally stopped all together. I now only have it taken at the doctor's office and then if it is "high" I check at the pharmacy, if I can't get it low enough I will buy a monitor and check at home until I get the right number and then throw out the monitor. This still sucks but at least it is only a couple of times a year instead of constantly.
I learned that months go by and my bp does not change. The bp checking became the key to my happiness, if I got a good number I was thrilled, I could relax and enjoy things but if I got a 'bad" number days could be ruined. This was just an activity to make me feel like i was ok, it didn't even really have a lot to do with bp.
The best thing I ever did was get rid of that damn machine. I have gotten my life back and I don't want to ever go back to that again.
You have proven that your bp is ok, so if I were you I would get rid of the machine and let your doctor manage your bp.