Please tell me who wrote this song… or sue me

About ten years ago I heard an Indian sounding song being played over the radio at Time After Time (a second-hand clothing store). The melody has stuck with me and now I am to the point where I am being driven kind of crazy wanting to know who wrote the song. I feel the only recourse is to publish a song myself which best recreates the melody in hopes that the music publishers will contact me for violating their copyright. If they threaten to sue me, I’ll gladly fork over all profits I make from this piece. Listen to PleaseSueMe.