Three inverters, six batteries.
Do you really need so much peak power? And able to drain battery is 2 or 3 hours.
Try to get by with single inverter, more batteries per inverter for more storage.
Arrange to not run all big loads at once.
Long runs don't have to be PV wire. Usually we connect PV wire to an electrical junction box with MC4 pigtails, then use THHN/THWN-2 building wire in conduit. Or could use UF wire which could be direct buried. We often combine multiple strings in parallel, use one larger wire for home run.
Calculate voltage drop vs. gauge. Unlike AC wiring and battery cable, no particular voltage drop percentage matters that much; it is just efficiency loss during times of peak production. That can be offset with more PV panels (but never violate maximum open-circuit voltage limit of inverter/SCC.)
Don't just run two wires (PV+/PV-). Include a ground wire, and tie PV panel frames to inverter chassis. They often present a shock hazard if not bonded to inverter that way, because many inverters superimpose AC on PV wires.