Bainbridge is an unincorporated community and census-designated place in Conoy Township, Lancaster County, Pennsylvania, United States, with a ZIP code of 17502. Bainbridge is located along Penns…Bainbridge is an unincorporated community and census-designated place in Conoy Township, Lancaster County, Pennsylvania, United States, with a ZIP code of 17502. Bainbridge is located along Pennsylvania Route 441. As of the 2010 census the population was 1,355.