WGN 720 broadcasts Chicago Blackhawks hockey and Chicago White Sox baseball (since 2018).
Listen via a nearby KiwiSDR in Elida, OH, but really, nearly every SDR in the midwest can pick up WGN on a good night. 50,000 watts clear channel.
A very good station for Chicago area baseball broadcasts is K9MQ in northwestern Indiana.
White Sox news is on the WGN website, but as per normal Major League Baseball rules, the site does not carry live regular season games.