I find these types of Ten Commandment plaques (and even heavy monuments in the infamous Judge Roy Moore case) a fascinating phenomenon. For anyone who has read the New Testament (especially the Pauline epistles), the emphasis on the Ten Commandments is very strange for Christians.
The Judge Roy Moore saga involving the Ten Commandments monument (which continued as a travelling road show!) seemed closer to outright idolatry, as well as political grandstanding. I was rather relieved to see him “encouraged” into a kind of retirement. He’s a strange fellow with far too much influence.
As to that Ohio school, surely some local church might welcome the plaque into their fellowship hall or sanctuary.