I would think, theoretically, that the best thing to do would be to pick the best hitters and stick within a relatively small circle. There is in fact evidence that shows people on a hot streak of 3-7 games are just as likely to not continue that streak (revert to the mean). This means that you would want to choose the best hitters possible on a regular basis. This would mean picking guys with 1) high batting averages, 2) lots of hits, and 3) Lots of luck. You could adjust for matchups and such as needed. I think this would give you the best chance of winning, but to do so would require a fairly massive amount of luck too.