I always included ROE in my OBP stats, and in considering what the lineup should be as well. Partially due to scorekeeping inaccuracies and partially because I figured that over the course of a season that someone who got more ROE's was probably hitting the ball harder and "forcing" some of those errors. And I think in youth softball or baseball, you can make a very good case of arranging your lineup totally based on that, assuming you have enough stats to do that ... and also assuming you consider improvement over the course of a season. If someone started out hot/lucky, I'm not necessarily going to keep them at the top of the lineup when they've fallen off considerably vs. other players who are hitting it well.
But if I had to pick my #1 criteria for an order, it would be who would I want up next if its 2 outs and bases loaded in the last inning and I'm down by a run? And that holds true even more so in time limit games, where some players will get up 3 times, and others will only get up twice. I want my players who have the history and/or potential to reach base the most getting up 50% more than those who don't.