There are many radio dumpers that are trying to divide stream into list of songs by the radio's metainformations. Why not to implement that?
There should be also an option of adding a three digit number as a file name prefix. In that case we can do play all files in directory in proper sequence.
Without dividing, such a file simply acts as a many-hours-of-music BLOB, that we even don't play in kitchen's MP3 player.