Could you create a separate grid in your home? Off-grid or maybe hybrid, having no connection to your domestic power connections nor the supply. You'll be able to reuse nearly all of the existing solar equipment and will just need to invest a bit more to re-architect some of the electrical system in your home.
It may be a little awkward to use, since you'll be sometimes unplugging appliances from one supply to another. But if you were willing to invest in energy storage too, there'd be more consistency from your solar and less need to unplug appliances.