should or CAN I apply to colleges FOR my daughter - time is running out and she has given up on life

You need to worry about her mental health first. I don’t see the point of you choosing and applying to colleges for her. That’s just the beginning. Are you also going to attend classes and write her papers for her? Either she’s on board with this or she’s not. Some kids may need a little organizational assistance but this goes way over the top. If she can’t manage her own life how is she going to manage a classroom full of kids?

If one professional hasn’t helped, try another. And if her religion is making her depressed and crazy, introduce her to a different one that will be accepting and supportive. This all needs to be resolved. And you’d best look into mental health benefits/coverage (or lack thereof) before making any rash decisions about where to live.