I understand feeling trapped. I haven't had to live with my xh since BD, but he has controlled the money, except what I earn, and that has kept me in a frantic state.
There has to be a short term solution for you. Forget about goodwill toward your h or approaching him with any suggestions about how to make this work financially. Let your attorney handle your interests in the house, etc. It will get sorted out in time.
Right now you need to focus on your well-being. Until you are in a safe place emotionally your mental health is in jeopardy. You can't stay where you are and you can't abandon your kids. Find out what you can legally do. There must be resources in your area through the court, crisis center etc.
WH, it is ok to ask for help. Your h can't use that against you. I kept from getting help for myself for the same reason and I suffered greatly. Confide in your doctor. Those records are confidential. If you are concerned about your h getting those records via subpoena talk to your attorney about that. Your h's abuse hurts him not you.