Can you help me with where to stay near New Orleans?

This question is probably for people who know the area well, because I am going to be at the new NOLA racetrack, which is near the TPC off of Nicolle BLVD. I would like to stay close to the track, but it would be great if there is nothing right next door to be in the direction of the touristy areas of New Orleans like the French Quarter. I prefer to stay in Marriott properties like a Courtyard or Residence Inn if possible, but doesn’t have to be. What I don’t know is if the areas on the south side of the Mississippi River going towards the French Quarter from the track are safe? I don’t want to feel uncomfortable going from my car to the hotel at night.