The vandy midwives don't even have an MD in their office, they certainly don't live under the thumb of one. I vaguely knew that they had a cooperating physician, but I never saw her (well, except the time I was in the hospital having broken my leg while pregnant and I was refusing a medication). Honestly, if I hadn't been hospitalized for something else while pregnant, I would never ever have seen her! They have so many patients, that 1 cooperating physician couldn't possibly manage the care of each one!
I do think some of the midwives are more inclined toward totally natural birth. Margaret was awesome, I loved her, my midwife was Elaine, though she's semi-retired, Mavis was great too. Most of the others are newer and I don't know them. I personally don't care for Linda, I didn't think she was a very good listener and a friend of mine saw her recently and said the same thing.
But I would say if the Farm is what you want, go there. Why wouldn't they take you? You certainly live close enough if my friends are any example. I couldn't go to the Farm for, medical reasons I have to be in a hospital, but if that weren't the case I wouldn't have hesitated to birth there.