I'm in ACA, not AA, but I can relate. I don't WANT to sleep either. I can be completely exhausted, but I'd still rather stay up - on the internet, watching TV, etc.
I've lately taken to tricking myself into sleeping. I'll lie down on the couch in the middle of a good rerun, telling myself it's just to get more comfortable, and only for a little while. I'll wake up a few hours later.
Or, I'll lie down in bed, on top of the covers, next to my dog, with the TV on in the next room. Tell myself I'm just cuddling with the dog, that I'll get up again and surf the internet again, etc, that I have all the time in the world. I'll fall asleep for a few hours, then realizing I am actually in bed, resign myself to falling back asleep until it has been close to a full night's sleep (still fully clothed of course, and often lying perpendicular or opposite to the head of the bed).
I dunno either.