I don't have any suggestions for you, but I wanted to butt in on the topic of choosing a specific hospital and having your heart set on it.... In December, I had my son. Our CNM delivered at both Hudson Hospital and at Woodwinds. We chose Woodwinds, toured the place, planned on a waterbirth--all that jazz.
When it came time for me to have my son--I needed to be induced due to my water breaking and no contractions on my own--I was told that Woodwinds' maternity ward was full. They had an "ante room" that I could occupy, but it was extremely small--basically a holding cell of sorts. To top it off, my CNM had 2 other patients that were going to Hudson Hospital that same day. I had to choose between going to a hospital I had never stepped foot in OR basically giving birth in a broom closet (LOL) where my CNM may or may not be present.
The obvious choice for us was Hudson, and they were FABULOUS, as was my CNM. I can't say enough good things about them.
While I was at Hudson, one of the nurses told me she used to work for another hospital in the TC metro (forget which one) and they had to turn away people from the maternity ward on a daily basis.
If you go with a private practice OB or CNM, find out if they have a "back-up" hospital and what they do if more than 1 patient going into labor at the same time.
If you have your heart set on a specific hospital, find out how often they turn people away, and how they handle that sort of situation.