I read about stringing a lacrosse head backwards as an idea, but think that is still going to be deemed playing in the back of the stick. My idea, and I am not a FOGO parent or lacrosse expert, is why not design a flat head? One curved to a rounded point equally on both sides at the top of the head, and no one way curved rails. Pinch down on the side strung for play and carry. There is no rules on stringing a stick, and if a stick head is cut to have no true "side" kind of like an uncurved hockey stick, then you have a ubiquitous head.

Just an idea. Have no idea if it sounds stupid or not to the FOGO gurus here, but hopefully it can work for you guys. Good luck.