The film began production this week in New Orleans
Renee Zellweger co-stars in Courtney Hunt's next movie, which is moving from Boston to New Orleans
The broadcaster announced it will not go forward on the project
"It's going to die a slow death"
NBC project will star Diane Lane as former First Lady
Controversial miniseries has drawn criticism from everyone from NBC's Chuck Todd to the RNC's Reince Priebus