Welcome nd4231, glad to have you join our group.
Boundaries are for you and you alone. Not designed to help the other person. They are to protect you.
What you share about him moving away from AA is classic alcoholic behaviour. They start picking fault in it, then leave, then drink.
He is not showing any signs of genuinely wanting to stop drinking so I encourage you to consider whether you want to continue a relationship like this. You mention fights and him trying to manipulate you when he tried to get you to move in. Also you avoiding certain discussion topics to avoid fights is you having to walk on eggshells to appease him. Do you want to live that way?
It is very likely he won't change so it is up to you to decide if you want to continue being around this. As you say, his alcoholism is increasing, this is usual.
Have a read around here and see other peoples stories and it will give you more understanding of what you are dealing with and whether you want to carry on. Also a lot of us here found the book Codependent No More by Melody Beattie very helpful and a real eye opener.
Again welcome.