[ZeroGravitas]

You can keep the blind auditions, but use them to pass X number of people into the final round, then use a (biased if you want that outcome) lottery to pick the actual winners.

I'm generally a fan of this concept. It forces people to acknowledge and deal with the pre-existing random element rather than false precision of saying X is best for this role. (Says who? By what metric? Are they infallible?) and stops people overinvesting in attempts to game that metric.