You are in all right to doubt, like i said before, but the fact that God is exists is unrefutable, you might not want to believe, but that doesn't change the fact. Remember i said in order to see you must believe, not the other way around.
Also why are you trying to make human reason of one situtation that has happened to me? what about the others i have stated? Try to explain why people show demonic possesion (like in the exorcist, but sometimes worse)? or How do you explain miraculous healing, like quadraplegics and paraplegics no longer needing their wheelchairs? of blind people finally seeing? is that also a placebo effect?
If...we seen an account given of such miracle by the person who said he saw it, it raises a question in the mind very easily decided, which is, is it more probable that nature should go out of her course, or that a man should tell a lie? We have never seen, in our time, nature go out of her course; but we have good reason to believe that millions of lies have been told in the same time; it is, therefore, at least millions to one, that the reporter of a miracle tells a lie.
How exactly do you want God to work? By miracles? Miracles are by definition rare. If not, they would be 'commons'. God more often than not uses the very things around us. That is just how he does it. This is not a 'failing'. Nor does it mean there is no God. Remember, if he didn't let us have free will, then such factors would not matter anyway.