Hi Quiet,
I've been on the addicted side of the world and also the "throwing out" side. Both suck. As the mom, I'd say that it is unfair to blame me for past actions or inaction now. As a person, I'd say that's simply unproductive and unhelpful whether blame is due or not. I agree with Scott that your attention should be devoted entirely to getting sober and staying that way.
Focus entirely on how to do that. Make calls to the places suggested above. Go to a meeting and ask for help/ideas. Perhaps you could get admitted via the ER. Don't tell them drinking is your primary issue, don't tell them you need a place to stay - tell them you are desperately sad and unable to function. I think these things are true? Don't lie, but tell them the depths of your mental state. Someone there will help you find free help even if you're not admitted.
Just some ideas.
But do something drastic where you are. We all know a geographic cure is no cure at all.
I'm glad you came here to post. Keep doing that.
O