You have to get permission from the school. Couple issues: First - permission and Second: To record video with a drone for any commercial purpose, even as an Ad, you have to pass the FAA Part 107 Drone License. It's not hard, but it is a pain.
Now as for the 107... highly doubt you'd get caught, or that they'd care.... but the school's permission would be tough, at least here it would be. If it was a school project no problem.. but an outsider like me? Extremely unlikely.
So just between you and me,
, if I get a drone, (and it's highly likely), yes... I'll get some video. Probably not taken from or over the field itself but certainly from just outside the school grounds... which is legal. - JamesJM