Well Al-Anon is in part learning not to be an enabler. You've always been there for him, and now you've kicked him out. What is the bottom for him; when you finally stick to your guns. Surely by now he knows he's an alcoholic, has been to an AA meeting. It's up to him, and by helping yourself and setting the proper boundries for your life, you help him too.
If you love him unconditionally, you will let him reach that bottom, the one that makes him want to help himself.
I'm sure you've heard the saying "Feel good about saying no". It's time you felt good about saying it to him.
As a binge drinker, it's clear he can have periods of sobriety, but it seems he's never cleared out the wreckage of his past, or childhood.
All I can say is, set some boundries. Tell him if he wants you back he has to get some help on his own; suggest AA if you must, and tell him to leave you alone until he is well into recovery only then will you consider what is best for you and your daughter.
You may want to get a book called Co-Dependant No More by Melody Beattie. Your issues are primarily with you if you don't already know that. If you get healthy, then there's a better chance he will recover. It's not your fault, but co-dependency is the is the family disfunction of a alcoholic environment.
I think it's time for you to put in the effort, you can't control him. Even now you are trying to control this situation and won't let go and let God. Which tells me, you didn't really get into the Al-Anon meetings, which I would suggest you re-attend and make a commitment to go to them weekly if not more for 6 months.
Another piece of advice, when at the meetings, don't talk just listen for the first 2 months. You can't learn anything if you are talking.
If in 6 months it hasn't helped I am sure they will refund your misery.