I just can't imagine the powers that be allowing the Non-AQ teams an invite to the party. In football, the deck will always be stacked against the non-AQ teams.
A scenario which they might get behind is a 4 team Non-AQ playoff for the right into the larger National Championship Tournament. It wouldn't be a perfect solution but it would allow Non-AQ team a chance to get a seat at the table.
My biggest concern is that we will be left out in a completely different division apart from the AQ teams. The basketball tourney is so successful because no matter who you are - you ALWAYS have a shot at winning the national championship. Seeding stacks the deck - but all teams have a shot.