I was in the same position as you a few years ago. I have an ARB 50q fridge that would last ~2 days on the car's battery before the low voltage shutoff on the fridge kicked in. Then I'd have to drive around a bit.
I ended up buying a Suaoki 400amp/hr portable battery. . It's a lithium battery. If you want a more recognizable name brand, then Anker has their Powerhouse. The next step up in price are the Goal Zeros.
https://www.amazon.com/Portable-Gen...CGX87G326PQ&psc=1&refRID=WG4MKS59CCGX87G326PQ
With their 60w solar panels (which seemed to have doubled in price since then):
https://www.amazon.com/SUAOKI-Porta...Y8ETP4RMHSN&psc=1&refRID=8K8Y05J3XY8ETP4RMHSN
Using the above, my ARB ran for seven days outside in 80+ degree days. The battery still had a couple of bars left at the end of the week. The solar panel doesn't maintain charge (when fridge is connected), but it extended the life of the battery beyond what we generally need.
My ARB uses 1-2 amp/hr of energy (inside house). This will vary depending on outside conditions and how low you set fridge. I used this as a rough guide to how long a battery would last - although the low voltage cut off will kick in way before a lead acid battery is depleted.