If you're staying in Treme, it's because you want to understand the history and culture of New Orleans deeper. This is the best place to do it, and Gwen's been in this house since the 40's so she's the best person to talk to about it. Her house is truly unique - the neighborhood equally so. Loved my time there!
Logistically - it's not a far walk to the French Quarter area, same goes for some of the best restaurants like Willie Mae's and Dookie Chase in Treme.