One thing to note- while I've not been directly in a hurricane, I have paid attention to post ones- for the most part, after the hurricane passes, the weather (read that as sun) is really quite good. So the sun may not be blocked as badly as you might think.Welcome to the party!
The problem there is she has 2.4 kWh power need and an east facing balcony with 12' of space. Let's see... in an earilier post it was estimated that 100 watt panels were just over 2' wide, so you could have 5. Assuming you get between 20 and 50% of the insolation (given the east facing and stormy weather) that's roughly 500 to 1000 watts per day as a rough guess.
The Nomads are 20.5" wide, so you could get 7 at a cost of $2800. They're 5' long...so, if you slid them out somehow at 45° , At 5' tall they'd hang down about 42" which is just at the upper end for the height of a railing. So that's good, they wouldn't hang below into the downstair neighbor's air-space. 700 watts of panels at 20 to 50% the insolation would be 630 to 1575Wr/d. So, still not enough watt-hours and that would 71 lbs down plus windage forces... a lot of force on the railing. Easy to see why the first couple of pages are pointing to a propane generator (which we don't know if it'll work or not - depends on the trailer/garage ideas).
Also, thinking about it, in the immediate aftermath of the hurricane- call it the first 8-10 hours post shut down, the most important item is the CPAP machine, it seems to me. Then some time cooling the fridge down enough to be safe again. Extended power cuts will be a problem, for sure.
Still, the idea of finding a way of hanging enough panels appears to me to be an interesting path to follow. Even w/o DIY, one should be able to find a fabricator that can make a very effective system that will come super close to meeting the requirements.
Although, it would be good for the building to plan for this.... Not sure how, but a whole building system supplying everyone would be pretty smart.