I live in hollywood and I go to the miami maternity center. I love that they are open on sundays ( my husband has been able to make it to every appt) the head midwife lives on the grounds and there is always someone there if you need it. They are right off the 95 and It takes me maybe 15 mins to get there.
They do take medicaid. But if you are looking for an OB/GYN that works in a birth center you will not find one.
There is also a birth center in hollywood. I went for the tour but My husband and I were more impressed with the Miami Maternity Center's labor suites. The labor suites are in their own building (i think it was a house) and the offices are in another building on the grounds. The head midwife's house in on the ground and there is another house where classes are held. It is a pretty large area of land all of these building are on which get a lot of use if/when a mother needs to walk to help her labor along.
http://miamibirth.com/ <--- Miami Maternity Center
http://hollywoodbirthcenter.com/ <--- hollywood birth center.
Good luck with your search.
Also if you have the time on discovery health @ 6 or 6:30 am there is a show called House of babies. This was filmed @ MMC so you can kinda see the labor suites.
http://houseofbabies.com/