I've heard manticore which honestly is not very appealing. (Body of a lion, man's head with extra sharp teeth and a scorpion's tail.)
Unicorn is not exclusive to women IHMO but it does tend towards the heteronormative in use. It can also be derisive as in mf couples who rather naively want the mythologically rare. I'm not sure if you would want to wholeheartedly adopt for your own use.
I don't think you need a label. They are useful shorthand but you just described what you want and there is nothing wrong with it. I think you are rarer than the stereotypical female unicorn. Put that out there and see who comes into your life. Someone or someone's may very well think you are just what they have been longing for.