The Jung is closer to the interstate than the river, but it is a very nice, boutique style place (it also has a residence area). Restaurant leaves a lot to be desired though.
the big problem with the Jung right now is for those who plan to do much of their visit in the quarter. You can’t simply walk or hop a streetcar to get to the other end. You either have to walk over to Bienville and come up or backwards to Tulane until you get up to Burgundy.