Here is a recording I did practicing a few phrases, but only at the low octave:
http://www.tindeck.com/listen/carn "Sad Cowboy In a Box"
This is a really fun exercise. I haven't ever done song writing before.
I struck upon one of the phrases here randomly while trying to figure out what to do. I decided it sounded like a sad cowboy song, so I tried to find three or four other phrases that carried that through as a theme.
I'm not sure what chords would sound good backing this. I want to experiment and figure that out as well.