If you have snow and ice outside, you can build an ice house to buy time for frozen food (layers of big blocks of compressed snow and ice around it).
If it is long term, then build an underground ice house, and fill it with compressed snow/ice blocks in the depths of winter - if it is a particularly cold night, open the door and let the cold in, otherwise seal it up.
How do you think they had Summer icecream in Elizabethan Britain?
There would be a big market for ice for pre-refrigerator uses too (it used to be a pretty big industry).
I didn't mind living without electricity, which I did for a while. One of the most important uses I got set up for, was to be able to run an electric blanket, to ensure bedding was always warm and aired. In a permanent situation, that would get designed around anyway (for example when there were big inglenook fireplaces, before electricity, beds used to be in a 'cupboard' bed by the fire, with a seat built into one side close to the fire, and a door in the back of the seat to be able to get into the bed, also there were warming pans too, as well as hot water bottles made from fired clay).
I'm going to get set up with a small solar PV arrangement, combined with a small wind generator I am designing (something quite new), which will be handy for LED lighting, charging the Netbooks and laptops, radio batteries, etc., and maybe expand it to enough power to run the fridge freezer and occasionally the water tank immersion heater (though I'm thinking of a water heater or pre-heater to function as the dump load for excess power).
I don't actually care if the wind and solar setup doesn't function for that long, as I see it as just a handy temporary 'comfort zone' feature to allow other people to relax watching a film or listening to music, until 'home made' music and other forms of entertainment start to be reinstated. Depending upon events, things would soon gravitate towards what is doable and sensible, and fun, and a sense of humour, will, as always, remain important.
Water is key, and fortunately where I live has never had a shortage of good clean spring water, mostly available in easy carrying distance, but I do have a borehole, and I may rig up a wind pump for it at some point. No panic though.