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Oh, wait.... I just read your question more clearly.

Hmmmmm...... The only way I can think of to make it stroke JUST the exterior lines is to fill the spaces inside with the same color as the background.  That will fool Photoshop in to thinking it's all one big shape but the visual effect will be the same.  Since you're cutting out decals, you could also simply draw an elipse around the whole thing so that there aren't any little bits sticking out to accidentally get torn off.

Hope that helps.