Wasanaha,
I had not seen those 3 way portable fridges, they look interesting but they have a standing pilot light that burns a tiny amount of propane 24/7, so yes, you need ventilation in the vehicle. I do like the idea of not being dependent on solar, which means you can camp in thick forested areas or during cloudy winter days, and still have powered refrigeration for weeks.
So...within the context of this conversation, and your situation, here is an option for you:
Buy a good quality Yeti, Pelican, Engel, Ozark Trail, or Orca ice chest 'roto' cooler, (at least 55 quarts) and, as a standby ONLY...buy a small car seat style thermoelectric cooler for your meds and maybe some meat or veggies, whatever, in the event that you run out of ice and need to keep a few things cold as you drive back into town to re-rupply provisions and ice for the large 'roto' cooler.
Best of both worlds, and you will have a back-up plan in the event of loss of cooling due to loss of ice.
You cant run the thermo coolers for very long without the vehicle running, they will kill your battery in 6-12 hours, because they pull about 5 amps DC continuously, which is about the same amount of power as one headlight left on.
But they will run just fine plugged into the cigarette lighter while the engine is running.
You can consume food, meds, drinks, and ice, for a week or so, then toss the remaining meds and maybe some lunch meat or whatever in the thermo cooler, and make the trip back to civilization to re-supply.
Later on, if you want to camp/park for longer periods, a large portable solar system will probably be needed to sustain your lifestyle out there in the boonies...and by then you can sell the two coolers you have, and then upgrade.
As I said, its an option, and a reasonably priced one, with almost ZERO learning curve or installation.
Good luck!