I know this is a lot of rebranding to deal with, but they could move Newsradio 105.9 to Newsradio 96.3 which is *actually* WBBM-FM, then replace 105.9 WCFS with WSCR-FM The Score.

Or... Change 105.9 WCFS to WBBM-FM which means virtually no change to Newsradio 105.9 (just TOH ID), and flip 96.3 to WSCR-FM The Score -- which was effectively what Bilbo said.