The Prius will be fine. However, don’t expect great gas mileage. From what I’ve read, the mileage is similar to any other car’s in the winter, due to the cold temperatures (longer warm-up periods), and the heater and defroster running constantly - obviously, the engine needs to run for there to be heat.
But the Prius will certainly work. Personally, I’d get a conventional, similarly sized model and save the cost of the premium on the Prius.