Are you working on your Client's return, or your own?

Are you reading the links?

This: "in a long-term residential care facility"

is either private home or group home or Facility. Some of the resources given include limitations by number of children or adults in that home. A Facility doesn't count.

This: "Would the nontaxable income received by a single member LLC still be considered nontaxable when the owner draws the money out for personal use?"

Means you don't really know how this works, and you need some mentoring. Or, for this client, you should send this return elsewhere. The taking of funds is not the taxable event, no matter how the funds got to the bank in the first place, unless this was supposed to be payroll. Draws, from a Sole Proprietorship, are never the taxable event, and this is a basic thing to know.