Flunk the kid or hold her back a year. Heck, it's a charter school - kick her butt out for underperformance. These things would just as effectively punish her and her mother. getting other kids in on the act teaches nothing. (Though I suppose it teaches the other kids in the class that it's better to be on the side the shaming mob.)
She'll turn her homework in from then on. It is simple psychology: Pink underwear and green baloney sandwiches and you won't ever want to go back to jail. All this namby-pamby feel good b.s. will not serve anyone.
In life, no one hands out participation awards, except the Federal Government.