French is, as far as I now, one of the most fluent languages existing, which means singing it doesn't really make it weird, so try to do that. Imagine as if you were reciting a poem, or even singing a song while trying to say what you want to say. I practiced this a lot with my native language which is isn't very fluent,and it works almost perfectly,but I get wierd looks because that isn't how my language is supposed to sound.French on the other hand,is.