Tulane is a death sentence for a coach. The University doesn't support athletics. More than a few of the faculty and administrators there have this bizarre Harvard of the South fantasy that they think is incompatible with a legitimate athletic presence on campus. (Ironically, they think they are the smart ones.) The students do not support athletics and only a handful of alumni give a hoot. They have scratched together some success in baseball through the will of a single man and the help of a few dedicated alumni. That has not an will not happen in football. Lest we forget, before Hurricane Katrina they very nearly gave up their football program altogether.
I expect Tulane will struggle to find a head coach. They may even seriously consider Bustle before it is all over.