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@H-Bomb
Ok, so I should have said fixtures (as you play the 3 games at the same time, right?). So you want to have less fixtures, which clearly means you are going to have to divide it in some way. I wasn't sure if you play home and away, and could just cut that in half.
You could of course look going for an NFL-esque idea of dividing into regional divisons, where you play every team in your local division every year, and every team in one of the other divisions each year, with that division rotating on a yearly basis. Then the top 8 teams in the entire league go into a one day playoff tournament.
It would reduce the total number of fixtures (counting the playoffs as one fixture), yet over a few years you get to play every team.
I have no idea though if teams are roughly geographic, or roughly fairly divided, but it would also have an advantage that you play half your games in your local area.