Oh, you could ... when so many have gone before you and failed?
Look, let's face it. Go read any of the threads about KABC and its current programming. It's there to clear Westwood One programming and get whatever pay-for-play business that it can (sports, infomercials, etc.).
Cumulus is stuck with a lone AM, with a less than desirable signal, and even if they listed it with a broker they wouldn't get any takers. I don't believe they even have local studios and offices since they vacated the old La Cienega building; the official mailing address on the FCC license records is the corporate offices in Atlanta.
Until the cost of running it on autopilot substantially exceeds what revenue it can bring in, it is what it is.