If you are really leaving this man, you may well find that your family welcome you with open arms.
Think about why they went low/no contact with you - it's not because they don't like or want you, is it? It's because they can't bear to see you in this abusive cycle and don't want to patch you up only to see you wade straight back into harm. Once they know that you really are ending things, they could yet be your greatest form of support.
What about friends - did he put you in a position where you alienated them as well?
Try charity shops for gifts and things that sparkle
Tell your DD that you don't know where Daddy is, but that he loves her very much (ie you don't make excuses for him, but you say something positive so she doesn't make the wrong conclusion that she's done something wrong)
Get through the next few days, then start planning for your new future. It can be terribly daunting, but even the making of plans is a positive thing, and will in itself leave you feeling a bit stronger. As will taking steps, no matter how small, towards that future. The first step is planning the best Christmas you can for the two of you (and it sounds like that's well under way) and the second is making as much as possible of the plan true.