That fridge will likely be his biggest draw. Is his inverter pure sine wave or modified sine wave? How big is his battery? Is it the 80 amp hour group 24 battery usually put on trailers, or is it a 200 amp hour group 8D battery? Being for his hunting camp, he’ll likely be using it only in cold weather, which will cut the need for cooling that fridge, but that won’t help if he leaves the battery out in the cold.
A group 24 flooded cell marine battery of the pseudo deep cycle sort usually supplied with TTS costs around $80-$100. A group 8D AGM true deep cycle battery is around $400. The former weighs around 60 lbs, the latter about 130 lbs. But the latter would power his hunting camp 2-1/2 times as long, especially since he could keep it inside and warm.
