I stayed at the Prytania Park, but that was just before Katrina.
At that point, the place had a number of pros and cons. A pro was that the price was very reasonable. They advertised as being part of the Garden District. They were just outside of the District. I felt safe staying there with my then 8 year old daughter.
Nice restaurants within walking distance and easy access to the trolly. I don't remember exact taxi fare to the pier, but it was pretty cheap. Maybe $10?
The cons, at that point, was that the furnishings, carpet, wall paper, were a little dated. I would have preferred inside access to the rooms.
Hope this helps.