No, they won't. Sam's Club is a membership club, and requires a fee to shop there. Due to this, BB doesn't consider them to be a retailer, they're considered to be a wholesale club.
Again, it's possible a store manager will use personal choice to allow a PM to Sam's Club, since it's only $4.93 worth of difference. If it was $45 or $50, I think it would be non-existent.