That's been done.
The first limit is the size of the Peltier, because you'd have a hard time using anything that's more than 80 Watts, because the HSF simply can't transfer that much heat. Of course you can use more than one...
Otherwise, you're using the pelt as a water chiller.
If your goal is to avoid condensation, there are better ways: insulate! You should insulate anyways.
You'll have to figure out the min and max temps you'll reach, then lookup a condensation chart, to see what would fit.
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