Know how you feel. I haven't slept properly for ages. It all just starts to blend in to one long day. Stuff I did yesterday seems like years ages ago, and the stuff I did last week is real clear, sometimes can't even remember is something was a dream or if it really happened.
I do the 2am comp thing to, but I'm lucky, both my parents have away jobs, so I can stay on as long as I need to.
If I go to early I end up taking pills and cutting until I can sleep, and that always leaves me tired the next day. Or I can go to late, and only get an hour or so sleep.
Doesnt help that I have to get up for work at 5:30
Is the room you sleep in the right Temperature? A room that is too warm or cold is much harder to sleep in, try adjusting the thermostat. Also try eating earlier, If you eat late then you don't have time to burn off the excess energy (I assume).
Or do something to make yourself tired; go for a run, or a long walk, or do some sport, or just anything like that just to tire yourself out, but don't do it directly before you go to bed, otherwise the endorphins will keep you up. Aim to be finished about an hour before you go bed.
The stuff resistance said sounds good too. Not to sure bout the drawing through, every time I draw I end up staying at it for about 4 hours, regardless of sleep.
Hope you manage to get some sleep, take care.