1 Direct labor costs to Install Stacked Stone Veneer in Zimmerman-between $2,133.31 and $2,505.77. 2  Cost of all materials and supplies which may be necessary for Stacked Stone Veneer Installation, which may include: - between $53.35 and $57.77. Cost of all materials and supplies which may be necessary for Stacked Stone Veneer Installation, which may include: - between $53.35 and $57.77. 2  Costs of specialty equipment used for efficiency and job quality, which may include: - between $32.74 and $50.93.