Then why would god create our minds and logic in the first place? Seems like he'd be setting us up for failure if he gives us tools to determine the truth which in turn seem to disprove his existence. Also not something you'd expect from an all-loving deity.
If the story of the garden of Eden is anything to go by I'd say that the creator definitely both made those things and very clearly instructed us not to use them. Either way if logic itself is evil then any logical argument cannot possibly apply to a purely good being.
Of course I'm in camp snake, I'm just playing divinity's advocate.