I am sure I don't understand the nuances of this situation but it seems a major failure of foresight and your emergency supplies should be stored so that they are accessible where they are needed if shit hits the fan.
Additionally, a well-maintained suv with 4wd and snow tires isn't a cheap thing to own and maintain.
And if you get your car stuck somewhere with wind chills dipping to -50F, dying of hypothermia is a possible and/or likely outcome.
You can really tell who has never lived through a serious winter.
We aren't preppers but it makes no sense to rely on just in time deliveries in midwinter so we buy or otherwise obtain the wood for most of the winter in October or November
[0] https://www.forestsandrangelands.gov/documents/success/rushm...
[1] https://www.blackhillsfox.com/content/news/Military-supplies...