Okay, as per recent discussions, we'll go ahead with a scorecard draft.
It's an all time Test draft where each consecutive pick has to be a player that featured in a test the previous player played in, either in the same team or against. Could have a few hilarious plays, where everyone tries to avoid going back far enough to gift Bradman to the next selector.
Once the selectors are all lined up and the order randomised, we'll start off with the latest Test being played, i.e. the current India - Sri Lanka Test at Galle. Selector 1 picks a player playing the Test, then Selector 2 picks a player that has played either with or against the player in a Test match at any point in time, providing a link to the appropriate scorecard as proof. It then carries on similarly in the pre determined order...
IMO the scorecards should be from ICC sanctioned Test matches involving Test nations only, i.e. not involving any World or ROW XI's, and not involving matches that are currently not accepted as official Tests by the ICC.