Well im not very familiar with schizophrenia So i dont know how much help i will be,
as for waking up in the middle of the night at the same time.
Do you have a specific dream that happens every night?
Because your dreams may be telling you something.
What are some of your most common dreams?
because if you can figure out what your dreams are telling you then you can work on it,
ive worked on some problems through dreams and it helps a lot.
BUT i dont know what this is about cause ive never been in this situation so maybe if someone else whose had this beefore can help you more.
Hope i helped a little bit