Which will continue to sink.
A viable city at the mouth of the Mississippi and the Gulf: priceless.
Which Mississippi River? The one that currently flows by New Orleans? Or the one that's gonna form eventually well to the west of New Orleans, leaving the existing channel as a brackish slough?
Move it west. Deal with all three problems once.
I'll leave the details to the civil engineers. I just deal in cubic yards and equipment.
It's not going to move for ten thousand years, and even if it did sooner, manmade excavation can keep it where it is now...