I do not think anyone has found a way to export TCX or GPX files from the Apple apps. (Since the AW is not capturing geocoded data, I doubt that it could even generate a meaningful export file if it wanted to.)
In all likelihood the Workout app using the iPhone is not even recording data points that could be exported in a TCX/GPX file format. Without the iPhone there is no GPS data at all to export.
Most important Nike+ doesn't offer an import (or export) so a TCX or GPX would be useless anyway.