Rutgers Football plays its home games in "SHI Stadium," and that should be enough evidence to expose all of the reasons why Schiano isn't going anywhere, and why Rutgers's prospects wouldn't improve if he did.
Or, if you prefer, "Rutgers, The State University of New Jersey," is named after a Dutchman who gave the school a bell and the interest (but not the principal) from a $5K bond.
In both cases, it's not so much that the named benefactor gave so little, it's that literally no one else was willing to offer more -- let alone dozens (or thousands) of benefactors of that magnitude.
It's in the state's DNA.