I've made a decision on ToI. I have created a table which - with one roll of a d20 - you can create an opposition ballplayer - sort of a generic NPC. The roll's modified by the type of team you are facing - Elite, Struggling, etc. - so your roll goes from 0 to 24, with anything above 20 being reserved to increasingly better teams as the number climbs. while the reverse happens at 1-4. The roll outputs a stream of stats, enough to play the ballplayer in the field or at bat.
I will also be setting up one or more sample teams for free download. Anyone else is, of course, welcome to set up their own teams for DL. If enough people do this, I can collect links to them online, and there will be many teams to choose from!