Heading to airport 2/22!

Oops! My mom and I booked a flight at 6:30pm on 2/22. Problem is our hotel is right on the parade route! Any suggestions on how I can avoid the traffic going to the airport? We were thinking of using a Bounce (luggage storage) somewhere outside the French Quarters area in the morning and then leaving from there in the early afternoon instead of from our hotel. Any suggestions on areas we can look outside where the parade will go? Thanks!