Do atheists have a shot at heaven? (please read details.)

If a person does not believe in, worship, or pray to any god, does not follow the teachings of the Bible, does not go to church, or repent for their sins, none of it… but lives their life trying to be the best human being that they are capable of being, do they have a shot at heaven? NOT if they change their ways. This only applies to the person if they live up until the day of their death as a non-believer.
Of course no one can say for certain, but I would like to know the opinions of those among us that identify themselves as Christian (or something comparable.) Just your opinions, what you feel or believe to be most likely true.

So, I reject belief in a god, I do not worship any deity, I do not base anything in my life on the teachings of Jesus. If anything I have marginally negative views of Christianity. Do you feel I could still go to heaven, if it happens to be real?

Please feel comfortable in saying so if you believe that I will go to hell for my beliefs. I would expect at least some of you to feel and believe that way, and I also understand why you might feel that way. I won’t take it as a personal attack… I am authentically curious.