IMO and yes I am a numbers person.
Nighttime is a period of minimal usage. You need to understand what your end objective is
a) Do you want to be 100% offgrid ( keeping in mind that the last 20 to 30% escalates costs ) or are you willing to be semi ongrid.
b) Are you willing to do other prework before you size your solar with easy wins
i) Take big ticket items off electricity to ( example gas ) : Geysers/Stove/Heaters
ii) Take the smaller items to better technologies : LED lights etc> Generally buying better dishwashers/washing mach/ tumble driers isnt really worth it if you cange your mindset on when to run them.
A lot of it is a mindset change. Pack a dishwasher. Run it during the daytime. Washing and Drying the same
Dont turn everything on at 9am. Stagger it during the day
If it can be done during the day do it then. That will only affect your invertor and panel size, not your battery requirement.
Panels are cheap. So if you can live with 70 to 80% offgrid you can save on your solution cost
For example our family load in a big house for family size of 5 + onsite domestic
After 5pm and before 8am the usage is minimal compared to during the day.
At most I use the batteries down to 30% SOC with multiple targets during the night so we always have enough to cater for a 3 or 4 hour power outage.
I oversized on panels (8.4kw, max of about 7.4kw in my EW config ) so I don't have to worry about what I do during the day and I know that if I need to be totally offgrid I just need to spend another R50 to R70K on additional batteries.
Also by oversizing on panels even on a cloudy day I generally generate enough for my daily usage ( with minimising the big ticket items ) and some battery charge.
It takes a cloudy+rain day for me to really not generate any pv at all which is actually not that often in GP.
If Eskom/Nersa goes ahead with this stupid rates for solar only it may pay me to buy the extra batteries and to wire in my Generator anyway to cater for the case where I may have 3 or 4 days with minimal generation which are few and far between.