"IF" you can get a few hours of full sun, you should be able to get away with 120-140 watt panel and a deep cycle battery. I have a 50qt on my trailer and everything you posted. I have a 120 watt panel that is not mounted, I just move it to wherever it will get the most sun during the day. If I can get full sun, whatever I used during the night is replaced in a couple of hours and then the panel runs the fridge. I believe my battery is a deep cycle group 24. I don't remember the AH but its a lead acid. I have run this setup for close to 10 years and the only time it's been an issue is deep forest where I can only get some sun. 100 degree CA desert, the fridge will draw more and my panel keeps up fine. I have a 20 foot 10 gauge wire going to it, so that's my limit for finding sunshine. If you run a long power feed, make sure your controller is in your trailer, not at the panel. You lose too much power in the wiring if it was.