With 2 machines you could have everyone play them both twice each “meet”. Then take your high score on both games and award points accordingly.
For example if 10 people are in the league, the top score gets 10pts, then 9,8,7, etc. for a maximum of 20pts a week.
At the end of the season you could award 2 prizes, one for the highest score on each game during the season, and highest total points prize (maybe even top 3 if you have enough players).
Then have a tournament at the end of the season where everyone is seeded based on their total point rank.
If you have a very small amount of players, I would hold a strikes tournament like Deez suggested every week/month and skip the league season idea.