Landrieu is not up for reelection until 2008, so she will be a lost cause until at least 2007 when she feels it may be necessary to try and moderate herself.
She may tougher to beat then, since 2008 is a presidential election year and the Landrieus can and will GOTV in New Orleans.
On the other hand, either Bobby Jindal or Buddy Roemer should give her a real run for her money.