Scenario 2: Your solar power is used elsewhere. In this case, there must be a means to transmit power to the people who will use it. Those people are likely to live near seawater. The closest such people are also likely to have a limited supply of freshwater.
You are already either transporting water to the solar site, or transporting power away from it to somewhere else. So the idle capacity of the solar plant will be usable for desalination and/or wastewater reclamation. And I think aqueducts, particularly seawater aqueducts, are cheaper than you realize. The majority of energy required is in increasing the elevation of the water, and that can be done with surplus power, too.
Do you mean ice or steam? ;-)
Dynamic remote cut-off of heaters, chargers, and other non-critical consumers is one suggestion, but the equipment cost is probably at least 100 Eur per consumer.
Imagine building a huge water desalination plant and only running it when there is excess power available on the grid.
I can't see anyone wanting to invest in that, except maybe a financially myopic government, and they tend not to last very long.
How you do it depends on whether you prioritize capital costs or operating costs.