Auxiliary water pump

you have other issues to solve with your current cooling system if the car is getting to 220 after every pass.
I would try and fix that first, instead of trying to put a bandaid on it by getting it to come down from 220 quicker.
That isn't normal.
Oh no, its not every pass. its just when I hot lap it 3 times in a row, lol. The cooling system works fine when I drive it on the road. It seems like its always a hot day with full sun when I'm racing too which doesn't help it cool quick. I have a good big 2 row aluminum radiator and a fancy water pump. The electric fan is low profile for fitment reasons, and that probably doesn't help a lot.
If I do one run, then let it cool down 15 minutes before the next run, its down to 190 or less for the next pass. But being 160 would be a lot nicer.
Plus, the days I've gone have been Sunday, and the track only has 2 hours of test and tune, and then it goes to bracket racing. After bracket racing there is more test and tune, but I dont stick around that long. Thats why I hot lap it, but I wont be doing that anymore. I got 7 runs in under 2 hours time. In the future I'll stay longer.
I'm just impatient and love racing, and dont want to wait for the car to cool down. So with the electric fan going, and water circulating through everything with the engine off, I'm sure it would cool down pretty quick in between laps.