A golf club head with at least one cavity including a fill material comprising a polymer and a plurality of microscopic glass bubbles, and methods of manufacturing such golf club heads, are disclosed herein. In particular, the golf club head is an iron having a striking face, a rear portion, and an internal cavity disposed behind the striking face, which is at least partially filled with the fill material. The plurality of microscopic glass bubbles constitutes at 5-70% of the volume of the fill material, and more preferably approximately 20-30% of the volume of the fill material. The polymer material preferably is a polyurethane having a Poisson's ratio of 0.40-0.50. In some embodiments, the fill material takes the form a medallion affixed to a rear surface of the striking face, while in others, the fill material is injected into the internal cavity.