My son staunchly refused to be in group care; I could see he wasn't going to be happy or adjust. We bit the bullet and hired a nanny. That pretty much ate up all my after tax earnings, but for a dozen reasons we did it anyway (I only worked part-time). That is probably no help to you, since not everyone has the same options, but it was nanny or drop the career completely.
I never researched the law on pricing but, without a doubt, it takes a special person and a special situation to properly care for and help an ASD child thrive. We were blessed with the two nannies we had during my son's younger days, and blessed again with the after school daycare director when he reached elementary school. You have to keep looking; you will know when a situation is right.
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Mom to an amazing young adult AS son, plus an also amazing non-AS daughter. Most likely part of the "Broader Autism Phenotype" (some traits).