Actually, the public school is named in the lawsuit, which means they probably funded it. Typically, RTFs would not be private pay.
Also, there’s nothing in the article about it being a two-week bike trip, nor that he’d even be with the family without support overnight (since the article claims he needs awake overnight staff to stop from SIBs).
There’s no shame in families relying on whatever help they can qualify for imo. Oftentimes you don’t get what you want, so you settle for what you think will help your child