First, I understand, Slack, and User knows I wouldn't want to give you all more work!
What I know a songfic to be is: a (short) fanfic written and having the song going on "in the background," although some people have mixed the song into the story. Here's an example, from mine:
So many words for the broken heart
It's hard to see in a crimson love
So hard to breathe,
Walk with me, and maybe --
"Why was I so stupid?" he asked himself, as he had for seemingly every forsaken cycle he had been there. The question stood for more than one slip-up he had made. Trusting the viruses had gotten him shot into the Web; but his second mistake hit harder. He hadn't told the one woman he cared about his true feelings.
Nights of light so soon become
Wild and free, I can feel the sun
How much he longed to be back in Mainframe, under the warm sun -- never seen in the Web -- playing with Enzo, AndrAIa, and Frisket, and sitting with Dot on a bench in Floating Point Park.
The image in his mind seemed so real, but he knew it was only that -- in his head. And yet, he could see Dot's smile so clearly; warm and radiant, bathing him in its light. . . .