We drove Lakeshore Drive yesterday; it seemed to be fine. I don't know about Paris, but Robt E Lee seemed to still have some water on it. Canal Blvd by the lakefront seemed dry too, but there were lots of cops and army guys there, so you might not be able to drive there.
Good luck trying to get through, though, unless you already have a car inside; they don't seem to care if you bring cars out.