Your situation is awful and I guess he’s in danger if he comes straight off the booze. From my experience, addiction services do very little for family members, I struggle to get them to engage. I would be inclined to do this but I am only guessing at what will work:
Phone the out of hours doctors service and explain your partner is alone in the house and is at risk if he stops drinking abruptly. Tell them you are prioritising your child’s welfare and have had to get out.
Phone local social services and tell them the situation and that you can no longer cope at home with your husband and again make sure they understand you are doing all of the right things to keep your child safe. This is your little one’s home and they deserve not to have to share it with a chronic alcoholic.
I know this is entirely different but when my mum was ill last Xmas and I was splitting my time between her (very demanding) and my son (withdrawing and awful to live with) they put a care package in for my mum within days when I told them what I was trying to deal with.
I’ve also known other people like your husband being put straight into rehab. But I think they have to keep drinking at a certain level until they are taken in.
None of this is your fault, and I’m sure if he was in his none addled and addicted brain he would want you to look after your child. This is too big and you need a lot of professional help. Please don’t try and sort this out on your own.
I would also call Drugfam, who have a really good helpline and will be able to support you with this.