I'm surprised SAF does training. They don't have any youth program / training, but I might contact them, maybe there is someone who trains. That's the way it is with the local skeet/trap club. They just have someone who works with the kids but there isn't anything published.
The Illinois Rifle Assiociation doesn't have anything in my area.
I have two kids who have their targets on the refrigerator, and another one who is crying her eyes out because she hasn't hit the bullseye