It depends on the specific load, dishwashers can be configured to run when the price drops a bit, heating can be configured to allow your house to get a little colder, and if the market provides enough incentive, adding insulation will become economical.
I mean it is a big pile of interests that needs to be optimized. One option is to expose it to the market and let the supply and demand optimization process have a go at it.
What do you propose we do when the intermittent sources don’t provide enough energy and all the other power sources have gone bankrupt?