How many watts will you be pulling from 12V battery bank?
If your inverter will be over 2000W, i'd be mighty tempted to go 24V to keep the amps reasonable (the wiring and fusing gets expensive and the added cost of a 24V inverter may actually be negligible).
3000W inverter / .85 efficiency / 10V inverter cutoff = 353A
500A fuses, switches and wiring ain't cheap. I'd price these out to get a better idea as to which system is cheaper to build.
Looks and sounds like you know what you're doing so you're probably way ahead of all this. Good luck!
Lead acid is only 50% dischargeable so you only have 160Ah (with 4x batteries) of usable battery.
A single 200Ah LiFePO4 would be a 25% increase (and 50% weight reduction, some of that is your wallet getting lighter).
But with lithium you'd have to account for your inverter amp draw and over 200A gets mighty tough.
Sorry for rambling...