Here's what they can do. Identify one team from the Big Ten and one team from the ACC who are likely to end up no better than 6-6. Offer them the chance to play in the pre-season Chicago Bowl game, to be played the last Saturday of August. That way they're guaranteed to play in a bowl game as opposed to being left out if their season flames out. Sure it's a risk, but one that a school might be willing to take, the ol' bird in the hand mentality.
As for the game, have Bill Murray sing the National Anthem AND Take Me Out To The Ball Game (with some lyric revisions) between the 3rd and 4th Quarters. If a ball from the ACC team ends up in the stands, the fan can throw it back on the field. Leave the pitcher's mound, home plate and the bases in place. It will create some excitement and interesting plays. And, the fans can come in t-shirts and shorts. It's no less absurd than playing a bowl game in Chicago in December.