Cmon you academics, lets maths and problem solve the most practical system possible. It can be done. Yup!
Is there a way to set it up where only participants can vote in a weighted poll (1st, 2nd, 3rd), but not vote for themselves?
1st pick gets 9 points, 2nd gets 5 points, 3rd gets 1 point etc; in each diff size board category.
If 40 people participate and send 40 (verified) emails with 3 votes per category, first identifying which board is their own, then the data can be entered into an excel or similar spreadsheet for proper tally with paper trail, relatively easily I would think. Which boards get how many 1st, 2nd, 3rd place votes and the final value from under 10 min of data entry. Designing the spreadsheet would require more effort and I suspect some of ya are handy with those things
...or maybe strawpoll.me or equivalent allows for that