Consider recirculating the wort against the coils - it cools even faster, but you need a pump to do that.
I do it by stirring rather than a pump.
ditto, spoon is cheaper than a pump and easier to sanitize.
Pump take about 1 second to sanitize and allows for keeping the lid closed. I love my pump and will never go back to not using one. Yes they cost a bit, but worth every penny.