I took a natural birthclass at touro called Balance Born Childbirth. It was 8 weeks long and I felt like it was indepth. I looked into the bradley classes as well, but at the time the only person in New Orleans who taught was not teaching and I didn't want to have to drive to Slidell or the North shore once a week for 12 weeks. But I have heard great things about the bradley classes.
If you're considering a natural birth, I would strongly consider delivering at Touro (if you aren't already). They are definitely the most NB friendly hospital in the city.
Class info: http://www.touro.com/upload/assets/PDFs/Family_Birthing/calendar11.pdf
Ditto what LTF said. I took the same class and also delivered at Touro. Loved my experiences.
I looked into Bradley as well, but couldn't make the classes offered because of my husband's and my work schedules (at the time). I did read a Bradley book (Husband Coached Childbirth) and that was a good addition to the Balance Born class.