Howdy Graff420, I would not use a 'swamp cooler' or blow any air directly on the nutrient water to chill it by evaporation because;
1. The evaporation would tend to concentrate the nutrient levels.
2. The air from the evaporative cooler would already be saturated with water and would not reduce the reservoir temperature by very much at all.
3. And the most important reason not to try to cool the reservoir with a swamp cooler or even, dry air, is because the reservoir will be exposed to all of the mold, fungi spores, and bacteria floating around in the air. Not to mention the probability of light leaks into the reservoir, and the fact that the pads on an evaporative cooler are notorious breading grounds for the afore mentioned maladies.
I use ice bottles (.7 liter, smooth sided) in my 6 gallon reservoirs. The bottles keep the temperatures down below 70° F and last from 3 to 4 hours (with the lights on) and over night (with the grow lights off), especially when the plants are mature and shade the reservoirs.
Good luck with Your grow.