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There may be a few different ways to do it. To some extent, it depends on whatever else is happening in the drawing. For me, I would probably duplicate the object, remove the fill color, break the path at appropriate places, and delete the unwanted part. As long as the duplicated shape remains exactly and precisely on top of the original, it will look like you want. So you may want to group everything, to prevent them accidentally coming apart.
In some situations it might work to apply a gradient to the stroke, so that part of it is transparent. Or I could envision clipping possibly coming into play in some cases. Other members might have some other ideas as well
