Yeah, I think that is fairest way to do it. When I copied the rules it didn't say what'd happen in the event of everyone getting knocked out same round so we can discuss what to do for future games (for this game, if BSB gets knocked out you are all joint winners). Either:
- If all remaining players alive lose in same game week they're all joint winners
- If all remaining players are knocked out, they pick again for the next week and game goes on until one person is left.
There'll be two weeks before the next game so we can try and come to an agreement which is best.