As you know, an absorption refrig in DC mode uses an enormous amount of energy. One solution might be to get a portable compressor-based refrig, and use it in DC mode. It will use much less energy, and your lithium batteries will last a long time.
My experience is with a 40-quart Engel frig-freezer, which we carry in the cargo area of the pickup. Since we bought it, a number of other manufacturers have also come out with their own versions, so the price may be a bit lower now. We run ours in freezer mode, but if you use refrig mode, the power consumption is reasonable. Would it last two days on your lithiums, with the refrig set as warm as you are comfortable with? My guess is yes. easily.
I'm not sure you are going to get there with an absorption refrig.
Bill
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