I guess I am one of the fortunate few who have an absorption that works just fine, even in hot weather. But I still carry my Engel/Norcold 45 qt compressor that I use for all beverages, including dairy. Nice not to have to deal with ice and nice not to be opening the fridge door when I want a cold brew. That would be opening the door a lot! There just wouldnt be enough room for food and cold beverages for a week's worth of boondocking, without both.
To the OP, I have 140 watts of solar but only one gp31 AGM battery. I have taken to turning off the Norcold (somewhat noisy sawafuji compressor) at night before bed and turning it on again in the early AM when I rise. It generally loses only 10 degrees (32 to 42) and makes it up in an hour of continuous running (at 2.1 amps @ 12v). So, there's no draw during the time when solar isn't working. You might consider doing that IF that's not too long for items in the freezer. That's 6-8 hours of energy saving.
Of course, if REALLY cold beer is part of your breakfast, this may not be desirable.