Even if you bypassed the 12v socket circuit (wired directly or whatever), you would need a minimum of a little over 400Ah battery capacity for this one task alone.
In simpler terms, your looking at about 4 6v golf cart batteries to safely handle that single task.
'04 GMC Sierra 2500HD, CCSB, D/A, MaxBrake, B&W Companion, Retrax Pro, AR Power Steps
2013 Rockwood 8289WS w/Diamond pkg
1969 Camaro RS/SS Convertible
Dad's old 1968 Empi Imp (recently recovered from under 21 years worth of boxes/dust)