FBS teams should not be allowed to schedule a FCS team during the fall schedule. However, each FBS team would be allowed–nay, encouraged–to play a FCS team at the conclusion of spring camp each year. This optional game would be in lieu of the team’s normal public spring game.
So instead of a Red-White game at the end of spring, we would host Weber State or someone else in a 60-minute game with normal rules. I imagine there’d be enough demand for the school to sell tickets, run concessions, etc. Receipts could be shared with the FCS team as a payout to make it worth their while. The game wouldn’t count in either team’s win/loss record, so a loss by a FBS team may be considered forgivable to some extent. On the other hand, a FCS victory would help generate some excitement for that team heading into the summer.
Now how does that sound?