you are asking for a very difficult task.
First off you didn't even tell us what kind of background music your looking for, only what you don't want.
Do you want classical, techno, trance, etc background.
"Something I can sing to" is not going to do it.
Also, making music is difficult, and this is especially true when it comes to a song made only for one person. Nobody is willing to put hours of work into a good song, and not being able to post it up.
I fear your request is far too unappealing for all composers.
My advice my friend, just practice. You say you suck, but we didn't all start off where we are. Just make tunes, eventually you will be able to do it with ease.