Hi
A more basic question would be: Are the portable systems any cheaper than putting in a "real" system. Both have a battery or two in them. Lead acid is always cheaper than lithium watt for watt. Both have some sort of charger. Getting things wired up to here or there is same / same either way. Help with something like this can often be a "case of beer and some hotdogs" deal. Just get the buddies to do the helping *before* the beer is all gone
Basic math on the fan that is running out in the driveway right now (yes it's *hot* if I'm in and out of the trailer, the fan is needed): The fan is pulling just about 2A as it sits right now. If I want to run it over night, that would be 24AH off of the battery. I'd need a 48AH battery just to run the fan. With a rational margin on the capacity, I'm at about 60AH. Toss in a few lights and a cell phone charger, I'm likely up into a 70 or 80 AH battery.
An 80AH battery is not what you will find in a lightweight / low cost / portable / lead acid based gizmo. It's something you will find in a $1,000 Lithium gizmo that weighs in around 50 lb. So yes, you can do what you need to do. For way less than $1,000 you can put in a couple of real batteries and a real charger ....
Bob