Brain Flotsam

I don't know if it's just me or if it's common to everybody, but sometimes I just can't turn my brain off.  In idle moments (like walking from my car to the apartment today, for example), random snippets of old songs, new songs, thoughts that I might want to put down, old stories, or stories that I might want to write all jumble together and hit me one right after the other.  There's no break, and there's certainly no order to everything (which is why I call it "flotsam").  Is it the sign of a creative mind, and I just need to learn to organize it?  Or is it a sign that my brain is misfiring on all cylinders?

This comes to mind often when I think of writing, and how I have all of these ideas that sound wonderful, but then I can't do anything with them.  Those are the story snippets that just come upon me at random at times like these.  Other times, it's pieces of songs that just keep repeating over and over and over and over...well, you get the picture.  I used to do daily tweets called "Songs I Need and Icepick to Get Out of My Head," and it would be songs that torment me like that.  A couple of lines or pieces of music just running through like somebody constantly sprinting from one wall to another and then back again.  It's all the same.

I often wonder whether this is something I could organize and actually get something useful out of, but I have no idea where to start.

Right now, I have a song from the Corrs (Run Away) going through my head (same two or three lines repeating) but it can be almost anything.  I can't listen to Les Miserables anymore, because when I do the songs stay in my head for literally days, going over and over, coming up when I least expect them, and then setting up shop like Homesteaders staking a claim.  Sometimes just the mention of the name will do it (yes, I realize that I probably have just doomed myself).  I remember one morning I had a Kenny Rogers song going through my head, and was looking for that icepick for most of the morning.

So anybody know a good way to order a mind so I can actually use some of this stuff?  Or am I going to be stuck like this forever?