Bockscar.
I'll throw one out there: In October 1919, an extended period of bad weather allowed White Sox pitcher Red Faber to fully recover from the flu. With Faber healthy and in the rotation, mobster Arnold Rothstein abandoned his scheme to fix the World Series, and the White Sox won five games to two. Infielder Chick Gandil was later released due in part to suspicion that he attempted to broker a deal to fix the Series.
The big news in the offseason was the White Sox trading Shoeless Joe Jackson and $80,000 to the Red Sox for Babe Ruth.
Ruth was eventually traded to the Browns during a contract dispute. White Sox owner Charles Comiskey was a notorious cheapskate and also unloaded Ed Cicotte, Lefty Williams, and Buck Weaver during the 1920s. But his stinginess had one positive effect. In an effort to cut payroll during the Depression, as well as take advantage of the South Side's changing demographics, Comiskey signed Cool Papa Bell, Satchel Paige, and Josh Gibson in 1933. The Pale Hose went on to win the 1933 World Series against the New York Giants, and most teams integrated by 1939, with the Braves, Phillies, and Red Sox as the only holdouts.