Alan, we could probably co-ordinate entering the next one in the same group. Let's say we set a goal to end on - 6. The 1st one tries to score - 2 in every set and reports the score and the hole order. The other one then scores the same - 6, but with a - 1 in their last set. Or, if possible, getting - 3 on 1st 2 sets and par on the last. Depending on the outcome, we can either confirm your theory or try again next time. I think the quallie round is the best for this, cause you can control who you're playing with (if we agree to enter at the same time, we'll almost certainly be in the same group). And you can toy around with scores with less care...
Although I have to say, given some evidence lately, I no longer trust the tie-breaker that much. There was a bracket semi, where my opponent and I both scored the same - 9, with no eagles in the activities for either of us, so 9 birdies each over 9 holes. When I finished mine and the leaderboard showed up, his score was already visible, meaning that unless he finished his round in those exact few second it takes to get from the last putt to the leaderboard display, he posted his score before me. But I was the one to get through to the final, which shouldn't happen, if the correct tie-break rules were applied...