An inking system for use in transferring ink to a flexographic printing plate in a flexographic printing system includes an anilox member having an ink transfer zone located between first and second recessed bearing contact zones. A radius of the recessed bearing contact zones is less than a radius of the ink transfer zone by at least 0.100 inches. An ink tray includes a floor and first and second end walls. Bearings are mounted outside of the end walls which engage with the first and second bearing contact zones, respectively, thereby positioning the ink tray assembly in a specified position relative to the anilox member. Upper edges of the end walls extend into the recessed bearing contact zones.