You could try electrolysis. If there isn't a whole lot of hair it should be pretty cheap (and permanent!). A lot of places will do a free consult, so there's really nothing to lose... You usually don't want to do laser on the face as there have been reports of it stimulating more hair growth in women
Fortunately I don't have that problem.... yet! Who knows, I might in a couple years! I know that my Mom bleaches hers... If it was me, I'd probably wax.