You can run your cooling water in a closed circuit, provided you have enough water and ice packs and a pump that provides enough flow.
We suggest using a 200 L (53 US Gal) container (e.g., a rubbish bin), filled with water and adding 6 x 2 L (2 US qt) bottles filled with water and frozen a few days ahead. Your cooling water can also be kept in big containers and later reused for your garden or next distillation.