I would keep it simple, but of ample charging capacity.
A relatively large deep cycle battery of about 80AH, a reasonably large PV module at least 60 watts, 100 watts would be better and charge controller to suit.
This may sound very oversized but is in my view the minimum for reliable operation in adverse conditions.
Experience suggests that in real world conditions, that a PV module puts about 1 amp into a 12 volt battery for each 20 watts of rated power. So a 60 watt nominal PV module would put about 3 amps into a 12 volt battery. In UK* winter conditions we get about 1 hour of sunlight a day (or many hours of dull daylight that produces the same charging effect as an hour of direct sun)
So the 60 watt module in UK* winter conditions produces about 3AH a day. Losses in the battery are about 1% a day, say about 0.8AH in this case, which leaves about 2.2AH a day available for use. Not much is it ? A 100 watt module might be better and would produce a net gain of about 4.2AH a day.
Small batteries of any type may be charged at any time by use of a battery charger intended for in vehicle use and therefore designed for 12 volt input.
I would favour a deep cycle flooded lead acid battery of at least 80AH for several reasons, firstly they are very cheap, secondly they can accept charging at a high rate from say a generator if available, and thirdly they can be used to jump start a vehicle if needed.
Power failures or related disasters could occur at any time, but seem more likely in winter weather when PV input is at its lowest. There is also IMO a small but real risk of a deliberate attack on power infrastructure, this would likely be planned when it would have the "best" effect, that is probably mid winter.
IMHO, far too many people make very optimistic assumptions about what can be achieved with a very small PV system, perhaps backed up by a brief test on a bright sunny day.
BTW my "doom prep" PV charging system uses a 250 watt PV module with a maximum power point charge controller and a 200AH lead acid battery. That still only produces about 15 AH a day in midwinter.
*I know that the OP is not in the UK, but how does winter sunlight compare ?