The Ohio state budget is 24 Billion dollars. I think they could come up with a million dollars or two to cover housing and transportation for those that want it. We are talking about a small number of people here. If every family wanted to stay away, they could give $10,000 to each for with 0.1% of the state budget.
I would assume most of those funds ($24B) are already allocated to various programs. The US Federal government OTOH has departments and funds set aside for such larger scale unexpected disasters. Let's also not forget the infinite money printer.