Supposedly, birth control pills should help with this issue as it is due to high testosterone. Do you suffer from PCOS? I do and I have high testosterone levels, and more bodily hair than most American women do, but at the same time, I am Mediterranean so that is to be expected and I find it unfair for doctors to compare me to American women of lighter hair.
I do not take birth control anymore so what I do, is I bleach my facial hair so it blends in with my skin. My sister had some dark, prickly hairs coming out of her chin, like a beard, and she got tired of plucking, and invested in electrolysis, which has worked very well for her, so that's another suggestion.
I have had threading done and it is quite painful on sensitive areas like the upper lip (not so bad on eyebrows), but on the upper lip, the pain is much worse than waxing (you feel like you're getting constant electric shocks), and the hair will grow back, so the only permanent solution is electrolysis, or the cheaper, painless solution, is bleaching your hair every time the dark roots or new growth start to come out. Everyone has some peach fuzz on their face anyway, so as long as it is light, it should not be noticeable.