https://iopscience.iop.org/article/10.1088/1748-9326/ab91e9
In your once in a lifetime event I'd be happy if we used a bit of gas. This is something, after all, that Japan also had to do for years after Fukushima went kaput.
Bear in mind also that demand for heating and transportation can be timeshifted. An Octopus tariff in the UK already allows for this. We've barely scratched the surface of whats possible here because electric grids are slow to evolve to this new reality.