I say go all the way and eliminate punting. If you eliminate Field Goals, even if you turn the ball over on your own 20, there’s no other guarantee the other team is going to score.
I’ll go one better. Have both offenses on the field at the same time, lined up against each other at the 50. Coaches decide how to divvy up their 11 players between offense and defense. New line of scrimmage is set where the team who advanced the most was downed. Pandemonium!