Right across the street on the opposite side of canal street there is a huge indoor parking lot where you can park and i think if you get you ticket validated its free there is a small Indian restaurant/cafe there called The Village where you can go and buy a coke and they will validate your ticket and you can park for i think its 45 mins.
In that area you have to pay unfortunately down the street is a parking lot that charges eight bucks an hour. Time your schedule right and you will not have to pay allot two minutes late is a additional eight bucks.