LOOK at your electricity bill, ONLY about 35% of it is actually related to how much electricity you consume. The rest is customer, delivery, stranded debt charges, pst/gst etc.
As for the time of use thing, even shifting some use for things you can (not Fridges, furnaces etc -since they run periodically througout the day ), you'll soon figure out as I did that any potential savings amount to a very small fraction of your bill. Maybe a 5% difference overall.
Certainly NOT worth doing the dishwasher or laundry at 3 am. IMO.