I completely agree with WESBREW, the cold water flow should be able to be unrestricted and slow down the wort, I have a CFC that I made from my old immersion chiller and food grade hose, although I do agree with the cold water flow being unrestricted I dont believe that it should flow "wide open", I found that with mine I slow the slow of the wort to about a third of my valve open, I am using three piece valves with a Mark II wort pump, I don't run the cold water wide open because the flow can be too fast and prevent the thermal transfer from wort to water just because of how fast it is flowing, all faucets are different but I would try slowing the chilling water flow little bits at a time until you can get the hot water out that your looking for, with my set-up I do 10 gallon batches and start recirculating through the chiller with no water running to sanitize for about the last 15 min, then with my recipe I kill the boil have a 10 min hop stand and then turn on the chilling water, but at that point I am coming out of my chiller at about 73 degrees and go straight into my fermenter from the kettle. Getting the flows for both just right is kind of a pain but just as long as the hoses are connected correctly youll just have to play with the flow rates.
Good Luck.....................CHEERS