my last setup was a 4x8 trailer, I moved my fridge all the time to put it in the shade or bear lockers.. really not that much more cumbersome than a large cooler, once you subtract all the water ice in the cooler its not that much heavier, like a big cooler if you got two people its not that bad, but pushing at the limit of one person... my problem with that rig was getting enough battery and solar just to keep fridge running as a fridge.. didnt have the room for more batteries or solar, moving cooler was more of a necessity because I could get longer runtimes keeping it under a shade tree than mounted to the tongue of my trailer in the sun.. you could mount casters on it or get a lil collapsible dolly for moving it about easier.. or just take it out and sit it under your tailgate.. If you are on a strict energy diet, just one fridge keeping things cold is hard enough.. let alone freezing stuff, making ice, or running a second unit that takes even more power.
oh and the ice maker is less than 1 cubic foot in size, compared to my 80qt fridge.. its tiny.
but yes, I've got enough battery/solar now I could run a dedicated freezer separately and then some.. but this is the first time I've been able to go off the grid indefinitely after a few failed attempts.. its not as easy as people make it seem, few people here are bragging about all the times things didn't go so well, drained a battery flat and all the food went bad.. for example, if you have a lead battery.. and have 2 days of runtime, you need to drive 6-8h every 2 days OR have adequate solar AND full days of sunshine.. else you're going to be on the losing end of the stick on any trip longer than a weekend.. at that point you might as well just stick w/a Cooler, driving to get ice every few days would require less effort.. my old cooler would keep food cool for 3-4 days for a couple bux of ice and no electricity.. $1k on a fridge will buy a ton of ice, and we aint even got into batteries yet.
PS: As for Keeping Ice in a DC fridge, a big ole double wall thermos will keep the stuff forever practically in a fridge.. we've got like a gallon sized coleman one, can fill it up at fuel stops and stuff along the way.. thats what we've been doing for years.. its just you cant make ice in it, so you gotta ration it to last until you can get more.