Indeed with the fridge it pushes it a bit. But to address some of your other points:
> it would probably need to cool the battery
I'd expect if you're in a storm then you probably don't need any cooling - not to mention a 300W load is nothing for an EV battery compared to actually moving the vehicle. I'd expect some computers in the vehicle to be alive but that should be a ~10-20W draw.
On the other hand, my calculation assumes ~300W continuous. I expect the consumption to lean into the evenings due to the extra lighting, and drop off during other times.
But yes 80kWh might very well be what the OP has; I intentionally picked 50kWh as the lowest option I found on a "<major ev brand> battery kwh" search.