This is the most intelligent way EVER to put this query. This gets rid of the pretension. Even if you CLAIM to be an athiest, if you are still hedging your bets with a full Jewish/Catholic etc. burial, you are affiliated and maybe your squirrel brain thinks athieism is cool, but your heart believes in G-d.
If it were legal and cheap, I'd probably say to bury me up in the mountains with no marker. My philosophy is, if you didn't do enough to be remembered in life, why advertise your death?
All the same, I've visited my mother's small gravestone and it has never failed to make me cry. Some things about human emotion, we may never understand.