Iowa City and Lincoln, there is no reason to move it to a neutral site. Georgia/Florida and OU/Texas are in nuetral site games practically equal distance from each school inbetween them.
KC is four hours and change from Iowa City and 3-4 hours from Lincoln. There is a huge alumni base from both schools there. Rather than Red River or UGA-FL, think if it as something more similar to the Chick Fil A kickoffs in Atlanta. It would almost be like a pre-bowl game. Arrowhead would give a huge boost to the Heroes Game. Awesome fan experience. Again just ideas to kill this off season.