I have a similar problem. Lately I usually stay awake until the sun comes up and then I want to sleep half the day away. My parents get cross if I stay in bed late, but then I'm exhausted getting up at an earlier time when I've only had 4-5 hours sleep for days in a row. I'm scared about being vulnerable to attack in the dark when the rest of my family is asleep. It's especially bad for me around 1-3am, but taking 10-20mg of amitriptyline (a tricyclic antidepressant that causes sedation even at doses not effective for depression) at 9pm helped me fall asleep by midnight so I could bypass the worst of the anxiety. Maybe a similar approach would help you? I'm not currently taking it (long, complicated story) and so I just distract myself on the internet or reading a book until I can fall asleep, and most days I try to get up regardless of the tiredness until I crash and sleep in and the cycle resets.

*Willow*