There's an idea in there somewhere, mostly because a lot of wine coolers still get a substantial drip of condensation rolling down the back of the cooler from the Peltier cooler.
I suspect if you could slow down the cooling process just a little to prevent as much condensation at one time (so it doesn't drip) or find a way to integrate a cooling device into a drip collection which funnels it back into the humidifier, you would have a winner