If you consume 10kWh every night, in my opinion you should rather work on reducing consumption.
On the one hand, it is currently about days with temporarily bad weather during the transition period. That means in total enough would have been produced, but fed into the grid, while the battery is discharged early in the day during bad weather.
On the other hand, 10kWh are quickly gone in winter. At night the heat pump runs for heating, I already try to schedule hot water strictly during the day. Sometimes quickly cooked dinner (see when it gets dark...), maybe the washing machine or dishwasher also runs in the afternoon.
Since March 10th I have been completely self-sufficient, yesterday was the first day with external supply, because despite over 28kWp, only 4.5kWh were produced due to the weather.