For HVAC, you can heat/cool it at a minimum to the edge of the comfort range, which will make a big difference. You can take it much further by heating/cooling some thermal mass, and drawing on that mass when the electricity is cheaper.
That mass can simply be a pile of stones in a box with some ductwork added. It's hard to find a cheaper "battery" technology than a box of rocks.
Frankly, I think people are way too focused on batteries and are overlooking the rather obvious.
https://en.wikipedia.org/wiki/District_heating#Heat_accumula...
When powered by heat pumps, I imagine this could be used for cooling in the summer as well.
man, the beauty in our lives disappears. Imagine that heated by electricity (especially if during cheap period) instead of coal/wood, and how great it is to sleep on or right next to such a stove (my grandmother house had one :):
This is not a used-to-was thing. It's the norm outside of towns in my county.
To convert that to US units, that means a 3000sqft house somewhere were electricity is $0.15c/kWh would cost $600/year to heat from electric baseboard heaters. If you have a heat pump you could bring that down to $200/year - and that's before you even consider solar.
I live in a 5 year old apartment, and haven't even turned on the heating this season, but it's still a comfortable 20c/68F inside.
Finally aside from all that I heat my water and my home with natural gas.