That will work just fine for copyright purposes.

Only if you edit or change the music in a way that would make it different. A word or two, a different chord, or even a different arrangement of the structure is not enough to warrant a new copyright. If it's rewritten to the point it's a different song, yes, you might want to register it again.

You can find my music at:
www.herbhartley.com
Add nothing that adds nothing to the music.
You can make excuses or you can make progress but not both.

The magic you are looking for is in the work you are avoiding.