I see the issue as "access to funds", not so much "access to cash."
There are small businesses around that accept PayPal or other forms of payment.
Interac Electronic Funds Transfers are available here in Canada - sort of like a debit transaction but between email addresses.
There are just so many ways to move money around, I don't carry cash at all.
When I worked retail in high-school, we had one of those and used it all the time. Every cashier seems to still have one under their cash register.
We have enough food to last a few weeks. The car is fueled up so if we can drive several hours away, if needed. (the US border is about an hour away, Quebec is just a few minutes walk from here - in the massive North-East blackout in 2003
, Quebec had power so I went there for fuel for the car)