A good radio station, even those hosted by professionals and broadcasting over satellites, will have a program schedule. You will have to contact your local radio station if there is something you truly want to catch on the radio. Many local stations have a set time for specific things. It may be news and sermons in the morning. Then music from 1-9pm. After that, you may hear more news and then music throughout the night until 7am. What time does your local radio station even broadcast? Since it is often people who are doing it because they want to stay informed, you may have to expect some hours when they are off the air. Since they are typically on AM stations, you should be able to search for your favorite FM stations during off-the-air times. If they have a website; this information will be easy to discover.
However, if there is something big going on in your area; schedules are likely going to change. These radio stations are there to help people with important information. Why not take advantage of it?