Update 2

This is what I heard from Scott who heard from Debbie who talked to the doctors:

There is a place that is ASSOCIATED with Rush that specializes in pulmonary care. It is not a skilled nursing facility. This place specializes in people on ventilators and trachs with the goal to get them off of it and get him to rehab. They do think that he will be there for 4 to 5 weeks.

Dr. Lopes is still very optimistic and thinks this is a good transition for dad.

The place is in the suburbs, so there might be the opportunity to do one of those extended stay hotels that's like 189 bucks a week. I don't think we can keep the apartment we have now and I don't think any of us want to stay in the city when we can go to the burbs.

I wish there was a place like this here, but staying in Chicago is probably best.