Alternate route from Baton Rouge to New Orleans: Westbound I-10 to I-310 to La 3127, 3127 to La 641 (Gramercy), cross the river at the Veterans Memorial Bridge (gramercy bridge) and get back on westbound I-10.
From Baton Rouge or Houston to New Orleans: Eastbound I-10 to Veterans Memorial Bridge, to LA 641 to 3127 to 310 North back to eastbound I-10.
State Police suggest this route if you need to get to LaPlace: Cross the Gramercy bridge and come back on EB Airline. Airline is closed in Laplace but this route will at least get you to Laplace
No restrictions on I-10 coming in from the east or I-12 or I-59.