It would be interesting if we had our own Conclave-style process, separate from the Ziu, which could elect a King with a 2/3 vote or something similar (maybe 3/5 and then 1/2 after a number of ballots).
Not sure how we would elect such a body, though, so here's some ideas:
1. By seniority groups: we divide up the population into N equal groups based on date of citizenship, and each group elects X representatives to the Conclave (example N=4 and X=5, we have 20 representatives and roughly 38 electors per group);
2. 8 MCs (proportional-ish between parties) + 8 Senators + 5 Justices + SoS + 2 other senior positions = 24 electors
I'm indifferent enough on the Conclave "electing" or "nominating for approval" the future King. Either works for me I think.