I tried to create one New Orleans seat, one Baton Rouge seat, one Cajun seat, and three others to fit in the gaps. I think I did pretty well.
Now district by district:
LA-1: Steve Scalise (R)
Adds: St John the Bapist Parish, Lafourche Parish, rural St Charles Parish, Plaquemines Parish, Coastal Jefferson and St Bernard Parishes, St Helena Parish
Loses: Suburban Orleans and Jefferson Parishes
PVI: R+22
Racial: 71 White, 21 Black
This district had two bases: The North Shore and Jefferson County. One of those is dropped, and some more rural territory is added, but this is still Safe R for Scalise.
LA-2: Cedric Richmond (D)
Adds: Some of Suburban New Orleans, as well as Kenner, Metairie, River Ridge, Harahan, Jefferson, Arab Chalmette, Meraux, and Violet.
Loses: Estelle and Woodmere
PVI: D+2 (Toss-Up with Richmond, Lean D with Most Candidates)
Racial: 49 White, 37 Black, 9 Hispanic
This would be competitive, especially if someone with some skeletons (like Richmond) runs. Joe Cao could probably hold it, but maybe not.
LA-3: Charles Boustany (R) vs. Jeff Landry (R)
This basically combines the 3rd and most of the 7th.
Adds/Loses: N/A, but it's 2/3 Boustany territory
PVI: R+18
Racial: 71 White, 23 Black
Edge to Boustany, but not by too much.
LA-4: John Fleming (R)
Adds: Ouachita, Union, Lincoln, and Jackson Parishes
Loses: Half of Allen and Natchitoches, all of Vernon, Beauregard, and Grant Parishes
PVI: R+13
Racial: 60 White, 35 Black
Fleming should be pretty safe here, the only Dem strength is in Shreveport and a few Yellow Dog Counties to the South of it. Likely R when Open, Safe R otherwise.
LA-5: Rodney Alexander (R)
Adds: Grant, Half of Natchitoches, Vernon, Beauregard, Half of Allen, St Landry, Acadia, West Feliciana, East Feliciana
Loses: Half of Iberville
PVI: R+17
Racial: 66 White, 30 Black
Alexander is Safe here. I tried to keep all the river parishes together while keeping this district relatively compact, but I ended up having to dip more into Cajun Country. This district is extremely rural.
LA-6: Bill Cassidy (R)
Adds: Half of Iberville, Half of Ascension, St James
Loses: West Feliciana, East Feliciana, St Helena
PVI: R+11
Racial: 61 White, 33 Black
Cassidy's Safe as well. It's the second most vulnerable district, amazingly enough.
So there you have it.