Just a midwife.
I started out with a midwife practice that was "supervised" by OBs, but quickly became dissatisfied with them as it was just like the OB care that I didn't want.
I've since switched to a midwife-only practice that has their own non-hospital birth center. It is so much better.
ETA: I only know about the hospital/placenta thing through talking about it at a birth class where the other couples there were planning to deliver at a hospital with an OB.