I had a similar issue in Florida, and I used a submersible pump and ice water. But you can't hook it up to ice-water right off the bat, unless you have a 30gal barrel of ice water ready. Here is what I did:
1. Hook my pump up to the chiller, sit the pump in a bucket of water.
2. Fill the bucket with the hose as the pump is draining it. I had the out flow hose from the chiller filling my HLT with hot water to use for cleaning.
3. While this was going on I starting creating a bath of ice water in a cooler.
4. Once the out-flow water from the chiller cooled down to 90-100 I simply took the pump out of the bucket and put it in the ice water bath. At this same time I put the outflow hose from the chiller into the bath also to start re-circulating.
I had some extra bags of ice to keep adding to the water as it was recirculating. I started bagging ice in my freezer days in advance instead of buying bags of it.
OR, if you want to go with something along the lines of what you're trying to do, just buy/build a 2nd immersion chiller and use that as a pre-chiller as just putting the hose in ice water won't be enough.