If I had a freestanding birth center in my area I would have done that. The birth-center-within-a-hospital where I delivered Abram is the next best thing to homebirth (IMO) in my area.
One thing I'd wonder is, would a non-CNM midwife be covered by insurance? I know in NY if they're licensed they need to be covered but are usually considered out-of-network if they're not a CNM.
It's nice to be important, but it's more important to be nice.