A couple methods that worked for me, that you may try.
First, one sporting goods store told me that they don't mind if I call to see if they have inventory of .22. They even told me what time to call, so the delivery truck would have already came for the day. It took about a week and a half of calls, and they got in a bunch of Federal. My wife picked me up at work and we each went and bought a carton.
The second method that worked, is another sporting goods store allowed people to prepay for .22. When shipments came in, those that had prepaid got first choice, in a first paid, first served order. That took a couple months, but still, it worked.
Now, I have enough .22 that my wife and I can go to the range every few weeks, and I'm not in a panic about running out. My stock of about 4 cartons is by no means a hoard.
It used to be my practice that all I kept on hand was a single carton, just enough to go shooting with. I always figured I could always pick up another carton almost anywhere for only $10 or $15, so why stock it. I'll never make that mistake again. But, I'm not going to be one of those @$$'$ that buy up everything they can find, and then sell it online for a profit.
If you are desperate enough, that is an option. I don't know what is available in Ohio, but here in Utah we have a website called utahguns.com, dedicated to sales of guns and related items. Jerks sell ammo there all the time for a big markup. You may see if you can buy a brick there. It may cost you $40 to $50, but at least you can take your daughter shooting.