Hae, someone, eh. A hard adjustment to score like what you suggest is a 15 minutes efford. Litterally.
But, be aware, what looks to be the trick to balance a game on paper often proves to just tip the bucket to a different “problem”.
Another solution could be to introduce a pity powerball mania. If you get the powerball from the trough, the mode is not worth as much.
The super clean, but also very tourney-dull, solution is to make virtual locks and cycle the ball between players to position the powerball, where it was left off.
BTW, I am super curious how the game would act having 6 powerballs installed. Now that is a looney side tournament for you.