I'm sorry to hear of your situation. I drank like you are for years, not months. I wouldn't eat for days because 'I didn't start this fire to put it out', food ruined my buzz and had no use for it.
There are ways out, you've been to rehab, you must have picked up some tools there. Use them.
My other advice would be to go to a doctor and be brutaly honest about your drinking. A month straight is a long time, you may experience withdrawal and require the help of a professional.
I've been where you are and made it out alive, as you stated, some don't.
Think that next drink through to the end and the horrors it'll bring.
The good news is, there's hope on the other side. I drank almost suicidaly for twenty years and now have over two and a half years sober.
I really feel for you because I've been there, and I wish you the best.