Everything I've read indicates that a student temp visa cannot become permanent, but a resident visa based on work can...on the third renewal.
Of course the "catch" may be having a (new) work contract to present for the third renewal. If that's the case it might be possible to find a sympathetic expat who has a business that can hire foreigners to "help" out, even if the new "job" only lasts long enough to qualify for the permanent residency.
PS: I would not think it sexist if a very attractive woman approached me and said, "Hey handsome, I hear you have permanent residency and you're lookin' to get hitched."
I'd just say, "Saddle up."