A heat exchange tower has an external structure including opposed sidewalls, a front barrier wall, an inlet opening below the front wall, and a rear barrier wall having an outlet at a generally upper region. A fill material generally spans the inside within the four walls, and is generally disposed above the top of the inlet and below the bottom of the outlet. A baffle protrudes inwardly from the rear barrier wall inside the tower and is located at a height above the top of the fill and below the bottom of the air outlet. A primary drift eliminator structure spans generally across the tower, and is located at the height of the baffle, so they connect to each other. A supplemental drift eliminator is provided above the primary drift eliminator, adjacent an inward edge of the baffle. At least one air turning vane angled in a generally vertical direction is provided below the fill media. An air inlet guide projects outwardly from the front wall above the inlet.