This is fascinating. One thing that would be awesome to try would be doing this with the House of Representatives in the US. Basically, one registered voter would be randomly chosen from each congressional district. They would be obligated to serve for the 2 year term and paid the current salary of a member of Congress ($174,000/year). They would never be part of the lottery again after 1 term. I think this could hav…
Choosing a random person from the population to be a representative is called sortition. https://en.wikipedia.org/wiki/Sortition
If you say "I think we should use sortition to decide voting districts" no one will know what the hell you're talking about. If you say "Voting districts should be approved by citizen juries" it is simple and clear. Avoid jargon that doesn't add any precision.