Agree, maybe encouraging head protection as an option to start with.
Thinking about it, banning headers would be weird at first, but if hand ball was just the hand or certainly from only the elbow down, then controlling the ball with the upper body might work, it would certainly make corners more of a bun fight.
Whatever they do it would change the game of football as we know it. Banning it in schools, youth level and even in professional training may be the only solution if they are to take any action at all.