This will be a beast, but figuring out the matchups in a tough part, so thanks for that. In marking up and breaking into series I have made some slight revisions. I think they fit, but maybe you can check my work. Some notes related to that follow below.
First subleague
6-team division (3*3 + 4*2 + 2*14 + 1*7) = (9 + 8 + 28 + 7) = 52 series
- 11 games (3 series) against 3 of other 5 teams in division (4H/7A or 7H/4A) - extra H/A series balanced by inverse interleague series
- 12 games (4 series) against 2 of other 5 teams in division (6H/6A)
- 6 games (2 series) against other 14 teams in league (3H/3A)
- 3 games (1 series) against 7 teams in other subleague (3H or 3A) - extra H/A series balanced by inverse division series
7-team divisions (3*4 + 4*2 + 2*13 + 1*6) = (12 + 8 + 26 + 6) = 52 series
- 11 games (3 series) against 4 of other 6 teams in division (4H/7A or 7H/4A) - internally balanced H/A
- 11 games (4 series) against 2 of other 6 teams in division (5H/6A or 6H/5A) - internally balanced H/A
- 6 games (2 series) against other 13 teams in league (3H/3A)
- 3 games (1 series) against 6 teams in other subleague (3H or 3A)
Second subleague
6-team divisions (5*1 + 4*4 + 2*12 + 1*7) = (5 + 16 + 24 + 7) = 52 series
- 13 games (5 series) against 1 of other 5 teams in division (5H/8A or 8H/5A) - extra H/A series balanced by inverse interleague series
- 14 games (4 series) against 4 of other 5 teams in division (7H/7A)
- 6 games (2 series) against other 12 teams in league (3H/3A)
- 3 games (1 series) against 7 teams in other subleague (3H or 3A) - extra H/A series balanced by inverse division series
The cases with 7 interleague series means lack of H/A balanced within those games. That is covered in the division games. E.g., for the first subleague 6-team division, being 9H/12A in interleague is balanced by having one more 7H/4A. In the second subleague being 12H/9A is balanced by going 5H/8A against the one 13-game opponent.
The first subleague 7-team division need some opponents with three series and some with four series to get to the 52 total series.
The 2-game series are with the two 4-series opponents in the first subleague 7-team division and with the one 5-series opponent in the second subleague.