I have a 2-basin sink that is mounted under the counter with a removable faucet. I put my kettle in one basin that is filled with water, then stick the faucet in the basin pointed at the kettle, and run cold tap water into that basin continuously. The warmer water flows away over the top into the second basin and drains from there.
This works under the same premise as an immersion chiller, but is a little slower since it has a lower surface area. Still, for my batch sizes it gets me down to pitching temps in about 30-45 minutes. I'd like it to be a little quicker, but I've honestly never had any issues and still get a good cold break. I'm not sure what your home setup is, but this works decently well for a small-batch/kitchen brewer.