Do you take a bath daily? How do you brush your teeth? You seems pretty young, and things like teeth cavity might not be a problem yet, but it's hard to say what will happen in a few year.
Why did you make a decision to not have any soapy substance? It seems like a single small bottle of something that can be used both as shampoo and body soap would accomplish the same thing. And bathing after sweating without soap just never seems to work for me.
And are you sure that you're not smelly? I'm honestly wondering since it's fairly hard to for one to detect our own smell - we just get used to it.