Yes, fascinating that I deleted the posts that contributed nothing constructive, and decided to imply that I simply don't care, or am too lazy to do anything, and also include a dollar figure for income that was pulled directly out of your ass as well.
What you describe is not dissimilar to what I just said. However:
First identify your 'unluckiest' participants.
Step one biggest problem already. Your miners need to have had more than 1 diff's change worth of shares to even begin calling them unlucky. So they need to submit 8 billion diff1 equivalent shares. The miners would need to be hundreds of terrahash before you even accumulate any significant data to even make this call, and then if they split their mining into multiple workers, you will never get 8billion shares like I said.
This. Additionally, you can't send a "prove you're not evil" work packet to miners in stratum. Every miner has a unique ExtraNonce1, so they will never overlap their hash results.