The old election system for one of the Italian city-states was fascinating along these lines - multiple rounds (like, a dozen) alternating between sortition/lot and voting. The benefit, I guess, being that the lottery rounds make strategic voting unworkable, and the voting rounds allow better candidates to be preferred over worse ones.
Comments
Also https://en.wikipedia.org/wiki/Sortition
I think a reasonable compromise would be to elect a top 2-3 and then choose randomly between them.
The old election system for one of the Italian city-states was fascinating along these lines - multiple rounds (like, a dozen) alternating between sortition/lot and voting. The benefit, I guess, being that the lottery rounds make strategic voting unworkable, and the voting rounds allow better candidates to be preferred over worse ones.