Add two google spreadsheets. The first is a list of desired matchups. The second is a list of submitted results, and gets added to via a google form.
Now, modify the controller so that it automatically queries the spreadsheets to figure out which matchups haven't been run [enough times], runs one such matchup, and submits the results to the form.
The end result is that you get multiple copies of every desired matchup having been run. If the outcomes are too widely varied, that probably means there's too much randomness in the spec, maybe it needs more iterations per match? Or maybe someone is cheating, so maybe some sort of way to identify the submitter would be required.