Why don't you provide your own logic chain for why God doesn't exist and I'll read and respond to your arguments.
1) theoretically there are a huge number of explanations that fit the evidence, possibly an infinite number
2) almost none of them will contain your God
Done.
You can argue about what system should should be used to assign credibility to those explanations, but I'm not sure if you're read up on various Bayesian and non-Bayesian prior systems.
If you want to enter more evidence or argue priors you can, but in the argument's current state it's highly effective.