Rob;
I'm an hour south of you and having the same problem. A stock pot boiling on the stove will provide the humidity and the energy will heat the house. The only waste will be what leaks through the cracks. With or without the stock pot you will have to deal with the leaks separately.
You have to provide the enthalpy of vaporization for the water. If you simply evaporate it you will have to add heat to maintain temperature. Considering the outdoor temperature, unless you have a high seer heat pump you won't be much worse off by running the stove.
We generally boil water about five days a year. We run the dehumidifier about 20 days a year. This year is unusually dry - and cold.
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