I don't see the problem. A 240 watt solar panel will easily provide all the power you need to run a 12 volt compressor fridge in the summer when you need ice for AC. No math needed, no magic, no running the engine or killing the batteries. If it's hot enough to need AC where I am, you got PLENTY of sun!
My Whytner 12 volt fridge has a Fast Freeze setting and it is FAST! No problem keeping ice frozen.
For the 5 gallon bucket AC I'd use milk jugs to make the ice and swap them in and out as needed.
As far as not able to cool the whole van space, that's probably true. BUT you don't have to cool the van space, you need to cool YOU. Just having a fan turned on you will make you significantly cooler but if it is blowing even slightly cold air (and i"m sure it would be cold) then it has to work.
That's why I like the 5 gallon AC, with the ducting you put the cold air where you need it, on you, not trying to cool the whole van.
It's all academic to me, as a snowbird if it's hot, I turn the key and drive to a higher elevation. Problem solved.
But a lot of people can't do that and this offers what seems to me to be a valid solution.
But it's expensive! Figure a minimum of $1000 for the solar and 12 volt compressor fridge.
Bob