A refrigerated chamber would only add unwanted travel time and, depending on the design, add turbulence. Look in the FAQ for a fairly recent discussion on CAIs before you do anything dumb like throwing out the resonator.
I though about the coiled cooler before but wanted to use a refrigerated system... there's not enough surface area to cool the volume of air coming through at high loads to make an appreciable difference and the power requirements of the required compressor are detrimentally high.
Then, I thought about using a finned heat sink assembly with peltiers to cool them... again, power requirements create way too much of a load on the system.
There are plenty of things you can upgrade which will carry over after the swap: fuel pump, suspension, brakes, wheels, tires, cooling, adjustable fuel pressure regulator.... You could even go ahead and install a system such as the MAFT Pro and a wideband and learn how to operate the system and how to tune with it on an engine that's less likely to grenade when you make mistakes (and you will make mistakes).