I would be happy to offer coaching as a prize if you organise a tournament or a ladder like this for lower leagues.
The reason "no cheese" is a silly rule is partly because, as others have pointed out, it's hard to define exactly what "cheese" is. But I think the bigger impact of "no cheese" is that people will just play extremely greedy because they know they will be safe. For example, in PvZ I would take a third base at 5 minutes because I know that there won't be cheese like fast roaches, banelings, or mass slowlings.
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