and they may invite the students onto the field . . .
I mean, the end of football might be weird and wondrous and great fun. As a result of a random drawing, or as a reward for volunteer work, or as a reward to an entire class, students might be invited onto the field to catch passes, to run sweeps, and other clever drills.
Maybe the "game" is played for one hour before halftime, then the marching band and other activities, and then one hour after halftime, keeping it shorter and sweeter than an actual serious game. And maybe the linemen do clever drills with blocking sleds, even a race through a short shalom course? The goal is to continue to develop and demonstrate skills for the chances of a college scholarship if that's what the player wishes to do. A significant side benefit is that the player is a lot less likely to get injured his senior year!
And during the "game," the two teams may mix it up so that each quarterback works with the receivers of the both teams, we're corralling runners rather than tackling them, and we're most definitely playing a game in which the shoulders not the head are emphasized on the offensive line. We are adding skills, and not hurting a player's chances for college ball.
. . . the last year of high school football.