The only midnight meeting I could find was...
Saturday midnight EST/Sun 12am (gdnrs)
That was from.....
http://www.sober24.com/
They charge $32 per year for membership. I don't know if that's worth it for one meeting per week.
However, they have other meetings (check their schedule) for your days off. They also have reocovery chat, but it's empty late at night.
Here's another site to check out...
http://www.sobercity.com/index.cfm
I can't tell how busy their chat is because I can't get in (I have a 'wireless' router system and their chat doesn't work with wireless systems).
But I believe Sobercity would be very supportive and AA compliant.
I'm sorry I couldn't be of more help. Hopefully, someone else around here can help you more.