Historically, in Ky, all such programs are filled with wards of the state.
Theoretically, they could take a privately placed child/teen; but in actual practice, it never happens.
None are privately owned in the way an individual owns a wwasp program; or any one of many others. In Ky, residential placement facilities are owned and operated by the Baptist; Catholics and Prespaterians.
There could be something new . . .
If you can find a name, I'll look into it for you.