The main problem with this setup is that you're going to need a cold sink that is significantly cooler than the cold water you're generating in the first bong. If you have one of those, you don't really need the bong at all, do you?
If you still want to try, I think you could pack the condenser with fine copper mesh and cool the mesh with heatpipes coming from a couple 50W pelts, aircooled on the hot side. I'll bet you could set up a four foot column and dehumidify most of the air coming in. I wouldn't be surprised if you were condensing much more water than you're evaporating, though probably not during a dry winter.
That doesn't change the main problem, though: you're basically fighting against entropy here. Evaporative cooling by its nature generates a cold product (the water) at the expense of a tiny bit of work (the pump and fan) and a large amount of entropy generation (the vapor produced). By trying to reclaim energy from the vapor, you're putting a lot of work into cooling and collecting it. I might have to check my math on this, but it's my indication that the amount of work you need to spend cooling the vapor will be much more than the amount of work it would take to cool the water directly.
Perhaps you could enter a Rube Goldberg contest with it?
Alchemy
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