I can't answer your question entirely, but when I moved to Atlanta in 1994 the Braves were on WGST. But, during WGST's run with the team, the Braves had surprisingly become championship caliber. WSB, which was on its big ratings rebound under Greg Moceri, wanted the Braves back and had the wherewithal to outbid Jacor, which owned WGST, for the team to return to 750 for the 1995 season.
Jacor CEO Randy Michaels was quoted in the AJC as saying the dollar amounts had gotten crazy. And the morning the change was announced, I recall WGST's Tom Hughes joking that the Braves were leaving WGST because he refused to wear his hair like Don Sutton.
Then following a few years (not sure of the exact number) on WSB, the station decided the rights were just not worth keeping the team, and the Braves returned to what had become Clear Channel. And then of course on to Dickey/Cumulus. WSB's dropping the team turned out to be a good move because it didn't hurt ratings at all, and the station probably wasn't making anything significant if at all with the broadcasts.