It sounds like you did the right thing by standing up for yourself and wound up getting kicked in the ass for it. I'm truly sorry you had to go through this. Although the way you you left the home is sad and unfortunate, it likely would have been worse for your mental health by staying there. It's obvious the home environment was destroying you and would have eaten you alive if you stayed there.
It's hard when you have these feelings about your family and there are so many unresolved issues. You couldn't have said or done anything that would have made a difference to them. Staying there would have just made your mental health worse in the long term. So, although your current situation is very stressful, you're better off to be out of the house, get yourself settled somewhere, and take care of your own feelings. Don't worry about the family or what they think right now, your responsibility lies with you and taking care of yourself. Do what needs to be done right now, which is primarily finding a safe place to live. I know you're feeling hurt right now, but you will be better off when you have landed on your feet.
I hope there's some housing possibilities coming up. I've always said that looking for housing is a fulltime job in itself. It takes a lot of perseverance. Check out any places on line where advertisements can be posted, and look for places where people can post notices in public places like grocery stores, community centers, pharmacies, telephone poles, student campuses. You can also post your own ad that you're looking for housing.
I'm glad you opted for a hotel instead of going on the street. But hotels are pretty expensive. How are you doing for finances? Is there anything in place for when the week is up? I hooey this works out for you soon.