Might be easier to just have the servo/solenoid push a piston down into the tank and then lift it back out. Pushing it down obviously displaces water/resin and causes the surface to rise, which has much the same effect as tilting the printing surface but without having to add hinges.

However, I think that the ripples would make either idea impractical. If you wait five minutes before starting each layer so that the surface is perfectly smooth, printing is going to take days.