I don't know a thing about Big Picture schools but if it's a school that involves a lot of group work and your child was just diagnosed with autism I'd think real hard before moving her. Particularly if you have a situation that IS working for her.

My DS had huge problems in his 6th grade gifted classroom with the group work. His teacher assigned a lot of group work and insisted on changing the groups up each time. He insisted that it was important for kids to learn how to work with everyone in the classroom. This might have worked better with a different teacher who gave the groups more direction. But this teacher expected the students to "solve" their own problems. (DS ended up melting down more often than not.) But DS found himself overwhelmed, overruled and ignored during a lot of the group work. At the beginning of the year I though it sounded good and would help my introverted child, but it hurt his social skills not helped.

What you need to do is look at the personality and learning style of your own child. Do you know any parents of children who are already attending?