Looking for a large bike (56-58) - $150 (Mountain View)

Hello, I am Intern and working at the German international school.
I am going to school by bike, because I don’t have a car.
Unfortunately my current bike is to little.
That’s why I am looking for a new one.
My size is about 5‘10.
So the frame size should be around 56-58.
I would be very happy, if I find a large bike.
Thank you.
Dorothea