I like PoliceStream and would like to point out that a vast majority of the complaints about it are really complaints about the feeds themselves, which the PoliceStream author has no control of. The feeds come from RadioReference, and possibly other feed sites. If a feed has audio problems or if a feed is lacking in a specific location, then it is the same on RadioReference. Even RadioReference has no control of the feeds (unless one of a handful run by them). I am a feed provider to RadioReference and like having the convenience of an app. I just wish it it had widgets which could be set up for a specific feed.
Regarding using the web to go to RadioReference directly, you would not be able to bookmark a specific feed because after the next logging interval, the filename changes and the link won't work. You would need to set up a link to the county page, and then select the link each time. This is a PITA that an app like PoliceStream avoids.