As soon as I saw your post subject I was going to urge you to see a doctor to be tested for PCOS, but you've already been diagnosed with it.
I'm not sure if there are any great ways for getting rid of facial hair (or any body hair for that matter). Many, many people are frustrated by unwanted hair for this reason
As far as I know, your options are:
Depilatories, like Nair. I think they might make a facial formula but I'm not sure.
Shaving (not ideal, obviously)
Waxing, tweezing, threading - but I think you've tried these already
Electrolosis. You should look into this.
Lasers (not a option for you, you said)
Buffing- They make "sanders" that buff off hair, or you could just use a pumace stone. But in my experience buffing off hair can really irritate your skin, but you could try it.