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For a start a max of 3amp draw power is a lot....
So basicly this means it will draw max 3 amp an hour.....so when you go hunting for a battery or battery pack just devide the hours needed.
So a 12 volt 30 amp hour battery will last 10 hours...longer at a lower setting...like you said you run it at 50%.
Going by these calculations you would be better of looking for a large 12V car battery and connect a cigarette lighter attachment then going for battery packs which will cost you to much and not have enough amps or only enough for 1 night.
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