Have you asked this question at the Financial Aid forum? Someone there might have more ideas for you.
It is my understanding that some private colleges/universities are able to fund students with documentation/immigration issues. If you are a church-goer, I'd suggest starting with the colleges/universities supported by your denomination. Another option may be an out of state school. Look at community colleges with residences too. You may come up with one that is less expensive over all than commuting to GMU. Here is a list, by state of community colleges:
U.S. Community Colleges, by State
You are in a very unfortunate position, and I fully agree that it is just plain wrong for the State of Virginia to treat taxpayers this way. However, short of legislative action (which you can't easily affect as a non-voter) I don't see any change coming soon. NOVA is a fantastic school, and may be your best option for the first two years which would give you a bit more time to track down the money you need to complete your education.
Wishing you and your family all the best.