Notwithstanding any other provision of this chapter, no permit shall be issued for any building where any structure appurtenant thereto, including exhaust stacks, chimneys, cooling towers, elevator housings, heating or air-conditioning machinery, tanks, cupolas, steeples or similar projection, is designed to exceed the specified building height limit for the district by more than twenty-five (25) feet until the Town Board has reviewed and approved the site and building plans. Prior to the grant of any such approval, the Town Board shall determine that such excess height is reasonably necessary to the proper conduct of the use, that the public health, safety and welfare are adequately safeguarded and that the character of the neighborhood is not adversely affected. Prior to the approval of any application under this section, the Town Board may conduct a public hearing after due notice and may compel the attendance of witnesses and take sworn testimony.