How about just save/load the GE used on their League Games... of those teams that will play on Play offs... and the GE will use what it learned best to use according to the Playoffs settings of both teams... so definitely the team that won more on those matches will have the upper hand... much more if those team will play again with the same matchup/lineup...
Only those 2 League Games of the same Season... 1 over the Opponents Home Court and the Own Home Court
So the GE will start from what it learned best to use from those games... rather than to start from the Normal way it simulate the matches in Leagues games.