brewchez's last option is worth your while investigating. Living in dry dry Australia (well, much of it is), I have found it necessary to no-chill, and have done so for about 5 years with no failures.
Try it. If you don't like the results, you can always look at the other options.
Many people use the pond pump and ice water technique. People normally use store bought ice by the bag. Ice packs for beach cooler's tend to absorb heat slower than ice and probably don't work great in this set up.
To be more efficient about ice usage, you can use tap water for knocking the temp down from 212F/100C but several tens of degress. Collect ...