That's an idea that dates back quite a ways. Ford had a prototype F150 Lightning that used A/C to temporarily cool down the intercooler and gain something like 30-50 horsepower for around 30 seconds at a time. Unfortunately Ford elected instead to just kill the Lightning altogether at that point.
Great idea, surprised I haven't seen this as a street legal mod.
You would only need to sandwich the intercooler between the hot and cold heat exchangers with a (fairly powerful) automotive refrigerant pump connect to them. The cold heat exchanger would go in front of the intercooler.
I'm going to start talking about this to some enthusiasts I know and see if I can convince one of them to do it.