A really good deep cycle battery would provide 75 Amp-Hour rating.
http://www.batteriesplus.com/pc-23900-86-optima-31-blue-top-marine-deep-cycle-battery.aspx
12 batteries times 12 volts times 6.25 amps for 12 hours equals 900 watthours. Evenly spaced out over 12 hours you can draw 4 amps at 120V.
Big difference the power consumption at 240V and 12V.
Trying running your oven or air condition off of those.
Also after three years of fully charging and discharging those batteries every day, you are not going to have half that capacity left.
http://www.powerstridebattery.com/sidebar/deep-cycle-batteries.html
Oh no air conditioning, all cooking would have to be non-electric.
Gotta a grill and 250 gallons of underground buried propane.