ecliption, with a water cooler like the one in the OP, you can set the temperature of the water in the loop. So long as you keep it above the dew point inside your home, you won't have condensation. You won't have spectacular cooling, either, but you could conceivably have temps a few degrees below ambient.

With that particular unit, though, I'd be concerned about cooling capacity. I suspect that no matter what you set it to, it wouldn't cool very much...maybe not even down to ambient. If that's the case, you would benefit from putting it in series after a rad...the rad would get you closer to ambient, and the chiller a few degrees more.

If the chiller was capable of getting down to ambient, a rad would work AGAINST the chiller...it would take heat from the air in your home and put it into the water loop.

With a bigger chiller, the whole question becomes moot, and you're back to deciding whether or not you want to insulate everything and run below the dew point, or just set the temp to a couple of degrees above it. But at that point, you're looking at a $400-$1000 water chiller instead of a $200 one.

Or, you could just build a chiller out of an old window AC unit, there's already a thread here on that.