Is the mid-day wake up and 2am bedtime a planned normal schedule for you?
You can try taking your first doses upon waking like you do and then take your 2nd dosing a little bit earlier, say about 7 or 8pm. Getting that little bit more time in between your last dose and the time you go to sleep may help. When dosing make the 4-AD your last dose as well.
You could also look into picking up a sleep aid. AMS makes Nocturnabol, which makes me sleep deeper. Melatonin, 5-HTP, and or Valarian root are all also pretty cheap and easily picked up. Unisom is an over the counter sleep aid that I take sometimes as well. There is also benedryl, but personally I don't like it. It seems for me I have to take fairly large doses of it for some reason to get me tired and then it seems to hang around for a long time so it leaves me groggy in the morning.
Hope you can get your sleep worked out. I've struggled with sleep issues for years and I can relate, it's not fun.