Anyone at Norwood's practice (Women's Health Alliance) will be supportive of natural birth and a doula. Norwood himself is great.
I will just warn you that if you have any pregnancy problems, that practice won't take you seriously. I followed their stupid don't worry about "a blood clot smaller than a plum" guideline and it turned out I was in premature labor, my water broke, and I ended up losing both of my twins. Thank goodness I already had my wonderful daughter, but I don't know what a lady of advanced maternal age (39 when I lost my babies) with a PPROM in the prior pregnancy had to do to be taken seriously when I had problems with my twin pregnancy. A major blood clot (the size of a mango) at 13 weeks was "a fluke," only then they blamed that bleeding when I lost the twins at 20 weeks, saying that the earlier bleeding must have irritated the amniotic sac and caused it to rupture and send me into premature labor. The spotting right before I lost my twins wasn't severe enough for them to worry about either when I called to ask about it.
It's been 3 and a half years, and I'm still pretty mad, if you can't tell. Honestly, I don't know what I was supposed to do or say to get their attention, and I trusted those doctors since they got me through my first pregnancy and got me a healthy daughter. I should not have trusted them. If you are young and healthy and have no history of pregnancy problems (or are young enough that you can have more babies after a loss, which is not the case for me--that was my very last shot), then I think you will like WHA. If you may have any problems, I suggest you find another practice.
I will say that Baylor Dallas is a great place to have a baby (and even to lose two dead ones, if you have to have dead babies anywhere--they send lots and lots of chaplains by to visit you). Now that they've remodeled it, I'm sure it's an even nicer facility.
Best of luck to you. Natural childbirth (I did hypnobirthing with my daughter) was a wonderful experience, and having a doula to massage my back and feet was great.