I highly recommend Liz' place. She and her husband are amazing host.
The in-law unit is located behind their home. It has been recently remodeled and updated. Perfect place for a couple.
It's perfectly located to where you're far away from all the French Quarter noise but close enough for a $5-$10 Uber ride.
The unit is private with your own private entrance and parking if needed. We hardly ever saw Liz and her family. By the way, her children are awesome!
We will definitely be staying at Liz' place next time we are in NOLA.