I'm not sure you understand how common a diversion target practice (even shooting tin cans) and small-game hunting is for rural American youths.
But giving them up is a small price to pay for fewer dead kids.
In particular, you should examine the risk of other activities that you consider acceptable for children, like swimming or going on a car trip to visit relatives in another state.
And you should also consider how many lives would reasonably be saved by your law, which might not work out as perfectly as you think.