Why would there be a God?
I think for there to be a God, there would have to be a necessity for His existence, or the proposition of His nonexistence would have to be plausibly untrue.
Several arguments have been developed throughout history to back the idea of the necessity of His existence: cosmological argument, epistemological argument, ontological argument, moral argument, etc.
If these classical arguments do not hold in your opinion, then you must conclude that God does not exist or at least is unlikely to exist. Thereby you would have answered the question of "why would He exist?" by "for no reason", which translates to: a God that would exist for no reason is a useless God that is disproved by its triviality.