I guess quranist atheism would be possible, though its a biased term and violates objectivity.
The qur'an, while limiting itself as the sole source of authority in religion, is a book which wasn't meant to limit humans development, it was meant to inspire people to research nature with the help of a sound spiritual guide.
Using the suffix -ist means you adhere to a theological doctrine, while although a doctrine is processed in the text, the qur'an is more than that.
As for atheism, this is biased too. The premise is that there can be no God, while this is unscientific. A 'correct' (unbiased) scientific philosophical stance is agnosticism; most scientists who are irreligious will define themselves as such. Even Richard Dawkins, who prefers to use the term atheist just to avoid this kind of semantic discussions, said in his book 'The God Delusion' and in many interviews that strictly speaking, he is 'an agnostic who tends very much to atheism'.
Be what you want, but be it yourself.