Ruling out the illogical ideaologies of traditional religions and also ruling out the certainty of atheism, in favour of there being no significant difference between the amount of information we have of how the universe began and no information at all... Discuss!
The modern term atheist encompasses what you are defining as "possibilian." Basically, it is the scientific idea you can't prove a negative. It's the same concept of the Flying Spaghetti Monster. You can't prove there isn't some bowl of noodles in the sky controlling everything on earth, so it is possible it IS there.
Ask most skeptics - James Randi, Michael Shermer, Steve Novella, et al, and they will tell you that they cannot for certain say that god does not exist. What they can say there is no evidence for god and that there is no test for god's existence, thus we must say that there is no god. Thereby, that make them an atheist. We cannot say god doesn't exist, because we cannot test for god not existing.
Here's the bigger point - we won't know until we get there - either we die and we are dirt or we die and we go to some magical place. We have no way to know. There has been no way to test this scientifically. Everything we know about "out of body" experiences can be explained by science. There is nothing magical about them.