I'm assuming here that a typical AC unit will look something like a 12000, 18000 or 24000 BTU/H LG, Daikin or Samsung split type, ductless, cooling-only unit.
The cumulative kWh/day and kWh/month produced by your PV is what you should care about. As compared to what your load will consume in the same time period.
For off grid, which now economically makes sense in much of Hawaii because fossil-fuel powered grid power can costs $0.32 to $0.50/kWh.
You need a battery buffer so that your load (the air conditioners) doesn't brown out and fail when the a few clouds pass in front of your PV panels. At a given time when it is a little bit cloudy out you might have 12kW of load but even a very big PV array might only be producing 4kW.
The load is constantly running off the battery and inverter system, while the PV panels and charge controller are constantly doing their best to keep the battery full.