IiRC driving outside curfew hours is allowed under certain circumstances: religious, school, or work. Documentation of some kind regarding that event must be present with you if you will be driving outside the normally sanctioned hours. I worked nights after school so I was often getting done around 11pm. I would bring my clock out slip as Documentation.

You should also call the DMV and ask them for a definite answer(don't trust me, I'm a random guy on the internet) as well as what sort of "documentation" is satisfactory.