Hallo BT, and thanks for the welcome.
You might be want to be more careful with your posts. I'm pretty sure quadruple posting will be seen as spam.
Anyway, as for your question...I've thought about it, but I don't think it would work even if I wanted to try it. The reason I chose to write fanfiction was because I wanted to say something new about known characters and explore an existing world in an interesting way. Removing the canon elements would push it out of the context where it was meant to be understood.
It'd be a little like trying to rewrite The Land Before Time with humans instead of dinosaurs; it might still be an interesting story, but it wouldn't have the same meaning or impact.
-Hj