Some legislators are proposing putting an University of Arkansas-Arkansas State football game for charity to the voters.
In the first place, schedules are set years in advance. It's not a snap-your-fingers thing. The game between the University of Central Arkansas and Arkansas State two years ago came about because of a breakup within the Big 12 that led to schedule adjustments in that league that forced Oklahoma State to reschedule UCA for another year. UCA's available date just happen to coincide with an opening on the UCA schedule.
Also, such decisions need to be left to the administrations and athletic officials at any institution. That's their job. It's interesting how many politicians like to pick-and-choose the issues in which government needs to get involved. There are much more important things for legislators to debate and decide.
And no matter how noble the concept, such things are best done naturally. This doesn't need to develop from a public vote any more than it should that be decided by voters that the Razorbacks should not play Alabama or any team coached by Nick Saban.
This is not something that usually works and is sustainable with a force fit.