I've been working on ToI lately, which is wht I haven't been posting.
The potential offense problem I discussed last week has been addressed, I think adequately, by Lefty/Righty/Switch-Hitter Edges. Each has two edges - Lefty hitters have the Lefty Edge hitting either for power or average. Similarly, Righties have the Righty Edge hitting either for power or average. A Switch hitter has the either the Lefty or Righty Edge when hitting for average, and either the Lefty or Righty Edge hitting for power. The Edge gives a +1 to the TN when facing the opposite handed pitcher. I also gave a random-roll chart to determine whether a character was a lefty, righty, or switch-hitter based on current Major League statistics.
I also worked out some other tables which may be useful - a two part "Where Do the Balls Go?" random table giving the type of out or hit in-play - i.e. grounder, fly, or liner - based on the type and handedness of pitcher and batter. I also worked out a multi-part non-random Expected Results table based on the output of the first table, factoring in the presense of men on base, to give the expected result of that type of out or hit - i.e. a ground ball to the left side of the infield with a man on first should result in a 6-4-3 double play. This gives a basis for Challenges. With a 6-4-3 double play, the runner on first might Challenge the arm of the shortstop to beat the throw, or the batter might challenge the arm of the second baseman to beat his throw.
The GM is free to ignore all this - a GM knowledgable about baseball can give a better result, quicker, than any random table.