Canadian in an even colder climate. If you absolutely can't get a climate controlled storage place, you want to get a vacuum bag, suck the air out, and wrap it in a heavy duty garbage bag after the fact. This is generic electronics advice, and highly doubt this will be the case, but don't put it directly on the ground. Put it in a box where the Studio is slightly elevated so it's not at the bottom of the box either.
You shouldn't have too much trouble unless the area routinely falls below -25°C. Assembled electronics are more sensitive to extreme temperatures compared to their base components.
Finally, when you find your new home, don't plug it in right away. Let it come back to room temperature on its own before starting to use it.
Good luck on your hunt!