Yeah, I tend to use "non-binary" or "genderqueer" to describe myself even though neither quite fits. (Or "trans*", which does fit, but is sometimes too broad to be useful.)

And, FWIW OP? I do a lot of campaigning on trans* rights and recognition of non-binary people, and while I personally prefer "they" as my pronoun, I don't in any way feel that you "don't count" because you are happy with binary pronouns.