Ray, the solution here is to only do your originals on Open Mic.    The music in the background is leased by you and they are your songs.    That cannot be considered Karaoke as they are your original pieces.

Sounds really good. We had to make some changes to the rules that you can read in this post.

It states: NOTE: While we used to allow acapella performances to enter, recently there have been far too many entries of singers without any musicians. Open Mic is a community of musicians and for this reason entries without some musical instrument being performed will not be considered a valid entry. NO KARAOKE

This, however, is a very good, musical performance so we'll let it slide.