Move to a state and a school district that wants your kids. I know that is easy to say, but it is an option to consider.
A number of public schools have objective numbers that once your kid meets them, they are accepted into the program. A number of private schools also offer full tuition assistance. Again, these schools may be in another state.
The first step is to get a test. As for scraping the money together for testing, find a tester who will negotiate the price and payments with you. Or, find an agency that will foot the bill.