Moomin
Is there any way to expand your school search area? If you aren't sure about the immediate schools or homeschooling it might be worth seeing what a longer commute gets you. We moved and made one of our commutes much longer to get DS better accommodations - they don't really meet his needs but it's better than the zoned options we had before moving. And best because its a gifted school the kids are closer in interests and skill sets across DSs - he still stands out, but not so far that they have a hard time accommodating some of his needs, like in reading and math where every kid reads at their evaluated level.

For us homeschooling was not possible so we had to find something to make it work. Not sure how long this will last but we found a school will to work with us, so it might work awhile.

DeHe