It makes me very frustrated when activists hijack the word reason to describe the belief that there is definitely no higher power and that everything they we see around us is the the product of random chance.
The theories of evolution and big bang are just theories. Evolution is based on random mutations. The big bang theory does not explain how the ingredients for the big bang were created. Did something come from nothing? Did life arise from inanimate objects by chance and it cant be duplicated on purpose in a laboratory? These theories seem silly to me.
There are many, many theories about how God created the universe and life aside from the satirical theory that you mention. But my main belief is that God knows things that we are not capable of understanding.
Did you know that if a monkey sat at a typewriter for the entire life of the universe (about 14 billion years) and typed random letters continuously, he would never write a novel by random chance. IMHO it is unreasonable to conclude that the trillions of cells in our body that make up complicated organs that all work together came to be from random mutations over a period of several hundred million years. Although we witness many species going extinct, no one has ever witnessed the creation of a new species. The only thing scientists have observed are mutations within a species.
IMHO the most reasonable theory is that a power beyond our understanding created all that we see.
If you want to believe that God waved his hand and everything came into existence, then do so. But to claim that this is using "reason" is nonsense.
The current scientific theories are the best answers we have, and they use reason to accomplish these theories.
One point, concerning your complain about the Big Bang, science has never claimed that there was ever a time when nothing existed. The Big Bang was an explosion of existing matter. Why must there be a "before matter existed"? You are putting limitations in that are not based on any factual information.