Hi Poppinsme - we're from the New Orleans area too (we live in Bush, right outside of Covington on the Northshore)!!!!
We'll be in Disney Nov 15 -21, and I made one ADR for each day. Our other meals will be either table service if available, or counter service. We don't usually eat two big meals a day anyway. We'll be there the week of Thanksgiving, so I didn't want to take any chances!!!
As long as you're flexible with your dining times, you may be alright (some of the more popular restaurants may be booked - LeCellier, Chef Mickeys, etc). If there are any restaurants you really wanted to try, you may to call just to see if its available. Within the last week or so, I was able to get an ADR at Narcooses for one night with no problem.
Have a great trip!!!!!
GO SAINTS GO!!!!!!!! Hoping for a win on Sunday!