Good advice about not storing with ethanol in the system.
Of course , that could be extended to avoiding that stuff altogether.
Fogging is a good practice. It can be done by spraying Marvel Mystery Oil into the carb throat for 30 seconds or so with engine idling , then shut down and store.
Regarding the original question, I would leave it dormant for the duration. Once cold , leave it cold. If you feel compelled to run the engine during winter storage make sure it gets up to operating temperature for a good amount of time.
-And there would be your opportunity to fog it prior to shut down.
