OK, so there's a lot to your situation.
- San Francisco, totally flat mounted panels, 4.9 peak sun hours, 4x200watt panels, 3.92KW/hr per day (but let's call it 4.5 since you do make juice during non-peak hours too). You can't fill your 4.8KW/hr battery bank from total depletion in one day with that level of production, but that may not be a requirement to you. You might consider adding two more panels, if there is space on your trailer, if you want to be able to fully charge the battery bank AND be able to use it heavily.
- Your panels are going to provide some shade for your box of batteries and electronics, but it still needs to be ventilated. Oddly enough, my enclosed cargo trailer (painted black) doesn't become an oven even in 90 degree weather. I think you'll be fine here, but no one will fault you for adding temperature sensors to your equipment.
- You have a non-mobile job for this system as a freezer backup. Using a number for a modern, 20cu/ft chest type freezer, let's say 350 watts (which is when it's running, and how much time per day it runs depends upon how much you open it, where you have it stored, etc.). Let's say it may run 50% of the time worst case, so you're at 4.2KW/hr per day. If you're starting with 4.8, making 4.5 and using 4.2 per day, sure, your freezer can weather a week long outage with room to spare (maybe even enough for your fridge and a little well regulated lighting). Hopefully, you're not out hunting when power goes out. Might be wise to select an AIO with a generator or grid input if outages get prolonged.
- I can only guess at your hunting camp, but a hunt club I belonged to had a couple freezers, couple fridges, microwaves, a big screen TV, and lighting. Also a well pump. We had on-grid power, so I never really looked at our consumption. But since we only cooked breakfast and dinner for a maximum of 25 hunters, and maybe watched two hours of TV after a day's hunting, I'd guess your system might be able to support that.
- Burning Man? No idea what y'all do there, but guessing a lot of fans for cooling and lighting.