You can't not think in terms of stories, that is simply how our minds work. All you can do is to try to keep that (in the form of "intuition") from preventing the adequate weighing of statistics, probabilities, and explicit evidence that can't easily be fit into narratives.

Added: Even when thinking with images or kinesthetically, a person can only use the images or feelings as isolated "facts" or as part of a consistent sequence which has all the same problems as verbal stories.