I think you could put in Shanahan, Holmgren, Walsh, perhaps Vermiel (on the offense)...
Maybe you could argue Parcells, but he DOES have mucho input and to me that seems the natural way to go. If not, why not have Steve Jobs as your HC? If you have other football men running the show, then what is the need for a top coordinator, etc.. to assume a HC position when in fact you are advocating removing the HC from the essential workflow that needs to take place in order to prepare for your opponent?