Decades ago basketball incorporated the 3PT line to reward made field goals from a further distance. I would actually like to see a 4PT line implemented in basketball, perhaps a flatter arc or straight line halfway (or more) between the 3PT line and the half court line, but that is beside the point in my case for applying the 3PT concept to FGAs in football, something like this:
0-30 = 2 points
30- 55 = 3 points
55+ = 4 points
the above yardages above are examples or suggestions to illustrate the concept.
Effect:
(1) reduces incentive to settle for "chip shot" FGs. FGAs 30 yards or less indicate a LOS inside the 25 yard line. In other words, the offense is in (or practically within) the red zone. If you have to settle for a FG from this distance, the opponent has effectively made a stand. 2 points here recognizes the relative ease of the scoring attempt and also indirectly rewards the opponent's defensive effort close to the goal.
(2) increases incentive to attempt high risk scoring attempts. 55 yard FGAs indicate a LOS at the approximately the 40 yard line - the position which usually gives rise to the coach's dilemma: attempt a long, more difficult FGA or punt? Keep in mind that a missed FGA from midfield gives the opponent possession of the ball in favorable field position so there is already built-in risk in addition to the less chance of success. Kick a FG here and be rewarded with an extra point.
Just a thought (experiment).