I just tried recirculating ice water in my cooler this past weekend and had great results. I used this pump with an IC and about 30 pounds of ice.
Amazon.com: GROWNEER 550GPH Submersible Pump 30W Ultra Quiet Fountain Water Pump, 2000L/H, with 7.2ft High Lift, 3 Nozzles for Aquarium, Fish Tank...