Well, I wasn't thinking of using a copper coil or a pump. What I am starting to think is that without at least the copper coil it won't work.
You need something that will REALLY transfer heat if you want to do it in one pass.
Also, it takes 25 minutes to reach pitching temps with the recirc. that I do. This means that in theory you would have to drain at a rate of 1 gallon every 5 minutes. You will also need agitation around the tube carrying the wort, otherwise the eff. of the system will be horrible.
This being said, it takes about 44 pounds of ice and 3 gallons of water to cool 5.5 gallons in my system.
What you want to do is move energy... and to move this much energy you need to conduct it well. Plastics will not do, copper or SS will. You also have to be aware of the copious number of heat calories that you are trying to remove from your wort... this takes an equally copious amount of ice.
Keep in mind ice water is NOT the same as ICE. Ice requires so many calories just to heat it to 32F to begin the melting process that it carries much more cooling power than "ice water". This is why I start with JUST enough water to immerse my coil. Water cannot absorb many heat calories/g, BUT ice can absorb many heat calories/g. I mean, I can chill to 57F with 44 pounds of ice, that is 44 pounds of water, that is less than 6 gallons of water! The fact that it is in a frozen state is what makes it work.
Also in your case with the single pass idea, you want to melt the ice as fast as you can, the faster the wort melts the ice, obviously the faster the cooling.