The double back shuffle method in longwall mining involves cutting the coal face in a specific pattern that requires a shearer to operate in both directions along the face. A double ended ranging drum shearer, which has cutting drums on both ends and can adjust its height, is ideal for this method as it can cut efficiently in both directions. Fixed drum shearers and single ended shearers lack the versatility needed, and a plough is typically used for thinner seams, not suited for this method.
Thus, the correct answer is Double ended ranging drum shearer.