Damn.
I just wrote a long response, but the Internet ate it.
Anyway, quickly here you go again.
1) I agree with everyone else. It isn't that you *can't do it*. It is that it doesn't make any sense to do it. It is easier and cheaper to just transfer to a secondary that you can control (you can pick carboys up and walk them to a cool spot in your house and you're done--I did that for years and maintained good control). With a good pitch and basic sanitation, contamination just isn't an issue. (As an aside, how do you aerate your wort? Or don't you do that either?)
2) The method you outline doesn't make a lot of sense: silicone is a terrible conductor and a constant water flow is both wasteful and inevitably going to result in a end of fermentation temp. drop--probably while you're sleeping--as the yeast stop producing sufficient heat to offset the cooling; your yeast will probably prematurely crash. Here are three ways I can think of doing what you propose better:
a) Brew IN a fridge/freezer. That way you don't have to move your pot. Install a single electric element. Put your kettle on wooden blocks in the freezer. When you're done, just close the freezer door and you're golden. (I think I remember that you let the temp drop naturally.) (You're still going to need a controller.)
b) Make a copper external system,as you propose, but recirculate water or glycol through it with a pump and controller. Like this: <
http://www.jimsbeerkit.co.uk/forum/view ... 17#p464891>. You're going to need copper, insulation, a controller, a fridge, and a thermowell.
c) A hybrid system. Put an internal stainless coil in, like the poster above, and use connections that allow you to switch between your faucet (for chilling) and the set up in 'b' above (for control). You'll need the above, plus hardware for installing your kettle. Dave sells all that stuff.
You can get a simple $70 pump that will serve your needs at OBK.
Again though, the whole issue could be avoided, while gaining a bunch of benefits, by transferring and single vessel fermenting.