That is a lot, and while days are longer, high temperatures reduce production and increase demand.
The most I've ever observed was just over 100 kWh/day, and that was a cool spring day.
If you get 6 hours effective sun, need about 25kW of inverter and 25kW (PTC or NOCT) of PV.
Two arrays tilted to about 10:00 AM and 3:00 PM summer sun, wired in parallel, could be better with flattened power curve. Then maybe 15kW or 20kW of inverter would effectively utilize the production
Consider a PV-direct A/C, hopefully designed to consume 100% of available PV. Have that on a thermostat set lower than your grid-powered central unit. That would use all available PV for cooling, only draw from grid when that is insufficient.
This PV direct mini-split might do it:
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I'd like to boost efficiency of an AC by dumping heat to water instead of hot ambient air. Maybe a mist would help cool condenser, or maybe that would be a problem for corrosion or minerals - I would think the HVAC guys here have seen it tried. My A/C has a long copper tube from outside condenser to inside evaporator. I'd like to put a water jacket around that and circulate to pool.