Let the IC deal with the high load from the charge air cooler and the ambient temps (60-90F) and let the KC deal with the AC temps (35-40). If you ran your KC output through the IC - you've moved closer to ambient and your IC will not perform - lets get the most out of that and the free air flow across it before we demand of the KC.
Delta T is your friend here.

the intercooler is under the supercharger and has zero air passing thru it to cool. it cools by passing fluid thru the hot supercharged air. that fluid then goes to the HEAT EXCHANGER to be cooled. by using the killer chiller and not the h/e you are running the fluid thru the freon to cool the fluid. its lower temp than the air passing thru the h/e so it must be eliminated from the system while the k/c is in use. otherwise it actually raises the already low temps.
your terms are getting you confused. intercooler is under the s/c and heat exchanger is in front of the radiator . while both perform the same function the names are different to separete them