I'm sorry for my slow reply, I'm pleased to hear you're ok but desperately wishing for a way out for you.
I think saying you'll call Women's Aid is a brilliant, and big, first move.
You know you need to do this for both yours and your daughters safety and mental health. This isn't a life you deserve, you will be so much happier going your own way and creating a safer space for you and you little girl.
I note your bit about your daughter and how she's behaving towards your (d)h, and obviously I don't know enough about the situation, but it does seem like it could be that she's trying to keep him on side, though this will be unconsciously.
I grew up with a father who was always angry, you had to walk on egg shells, make sure things were tidy before he came home, to want to say the wrong things, and it's left me as a 45 yr old woman still think everyone means things in a way they don't, always thinking people are cross with me and wanting to people please and it's just pretty crap.
Please save yourself, and her, and give yourself that shot at a fantastic, free life together.
Imagine, in 6 months you could be living in a nice little space together, not having to think about what drinking opportunities for him are coming up and that you need to be wary of, and especially not being called disgusting names. It will be brilliant.
And as for shared custody, do you really think he would actually stick with that and want to do the actual hard work - not a chance.
Take care 💐