There's no natural gas service where we live in the boondocks. That was one of the lesser reasons that we went solar. At least in the summer months when we're putting lots of surplus power into the grid, we offset our high winter costs somewhat. June - Sept we use about 30 kWH a day. (We've been generating about 65% of annual power use.) In winter, we can hit 80 kWh a day with electric furnace, stove, hot water heater, etc. Gets too hot in the house if we burn wood through the night so like you we rely on the electric furnace to kick in while we're sleeping.
Our utility provider uses a two tier billing system. 'Low' rate for first 1600 kWh in a two month billing period. Then 'high' rate for additional kWhs. Now we're hearing rumors about time-of-use/peak period billing. One way or another, the utility co will be making more money. But we'll probably do better with our tracker then, too, once we have our battery system in place.
Meanwhile, always enjoy stoking the woodstove, feeding the dragon.