This would work well especially if you have an ATO (Auto Top Off), place a fan blowing over the surface of the water. Often used to try and hold a temp, and maybe lower it a little. You could also have the ATO water cooled as mentioned with Frozen bags of water, bottles both with RODI (Reverse Osmosis Deionized) water, or even freezer packs.
Be very careful not to drop the water temp down too fast more than 1-2 degrees in an hour or two, and make sure that it is mixing well, so not to have areas of extreme cold water if using any frozen or extremely cooled products.