Next step would be, I'd think, to bring the humidity in your room back up to sane, comfortable, healthy levels. Either that, or a working freezer.
A 70°F (~21°C) room will have a dew point far above the 0°F freezer, so your drive should develop substantial frost from condensation. Unless your relative humidity is around 5%. (Does a glass of ice water drip from condensation? Your drive will be far colder.)
Subjecting data that you care about to potential thermal shock and condensation, well, that doesn't sound like a good idea to me.
A 70°F (~21°C) room will have a dew point far above the 0°F freezer, so your drive should develop substantial frost from condensation. Unless your relative humidity is around 5%. (Does a glass of ice water drip from condensation? Your drive will be far colder.)
Subjecting data that you care about to potential thermal shock and condensation, well, that doesn't sound like a good idea to me.