Here's an idea (off the top of my head). Approximately 10 percent of the population is gay. Is there a station specifically programmed to gay people in your market? TEN PERCENT is pretty freakin' great market share! In certain markets the Muslim community represents a double-digit market share. Is anyone attempting to program to them?
You aren't going to get conservative, flag-waving, offend-nobody Corporate America to spend a penny advertising on those stations, no matter how many potential ears those stations might reach. Let's say Target decides to take a chance and launch an ad campaign on your hypothetical Muslim station. Muslim station then airs an interview with someone with al-Qaida sympathies and the program host lets him have his say and either doesn't question him or lobs softball questions at him. (I'm assuming the host wouldn't publicly agree with him.) Bloggers latch on to the audio and put it on the Internet along with the Target ad that ran right after the interview. Fox News picks up the story and runs with it; more negative publicity for Target. Suddenly, conservative blog readers and Fox News junkies across the country, not just in the station's local market, start going to Wal-Mart instead of Target and telling their like-minded friends what they just heard/read "about Target and al-Qaida." How quickly does Target pull its ads? Yesterday, if it could?
Better to sell the station to Salem or Multicultural, who let the programming pay for itself, than try to convince advertisers who want everyone, regardless of belief/politics/sexuality, to buy their products and have a clean, positive mental image of their brands to risk having their sales pitches associated with programming that gets a significant number of Americans boiling mad, justifiably or not.