The "Case Method" is a form of case study. It presents a central narrative grounded in history. Indeed I've been amazed at the amount of time and money that goes into producing them - not only in terms of editing and testing, but the research. Multiple interviews are involved, as faculty build a deep and non-trivial account. To this extent the approach bears a strong resemblance to the tradition of analytic narratives made famous by the likes of Robert Bates, Margaret Levi, and indeed Pete Leeson. What are analytic narratives?
Also, I don't think I've linked to Levi's "Analytic Narrative Approach to Puzzles and Problems(.pdf)" or her class syllabus before.