I have just recently installed a system in Texas that does exactly what you want.
The system is:
2x 12KW sol-ark's
2x 30KW LifePo4 batteries with 2xJK BMS's (i built them)
22 KW PV south-facing roof
The Sol-ark's running in parallel, and batteries are in parallel as well.
House runs all day on solar power and recharges the batteries, at night runs the whole house just on the batteries. The grid is only for a backup, if the grid goes down, there is also a whole house generator controlled through the Sol-ark.
Still having so much extra power, I helped the customer to fill out a net-metering agreement and sell the extra power for cloudy days.
The house has 2 AC units, 3 water heaters, 2 wells, a barn, an extra garage, etc.
Good luck!