What do you mean by ‘end of the world’ anyway? It can apply to anything from personal property damage (home destroyed in a fire) to global-scale catastrophes. Whatever the scope, geography can turn upside down during disasters – roads get rerouted for floods, earthquakes and fires, and highway arteries become clogged. Everyone tries to leave by the ‘fastest’ freeways only to find their car slowing to a stop. Suddenly the boldest lines on the map become the least desirable paths of travel.
The scale of a disaster also impacts the best map of choice – if the problem is localized that is one thing, but if the emergency encompasses a whole state (or, worse yet: country) your needs will change accordingly. Procedures and planning for evacuation all hinge on specific theoretical circumstances which may or may not come to pass – being prepared means having more than just one plan, but a flexible map with which to improvise. With that in mind, what kind of maps do you want on you when the world changes around you?
Local (Town or City): A local town, city or metropolitan area street map can have sudden new value in strange and unfamiliar situations – the normal priorities for places and locations can shift like fault lines underneath you. Whether you need to find particular resources or not will be hard to say ahead of time, but carefully marking up routes on a spare copy can help you mentally map routes and potential destinations ahead of time.
Regional (County or State): A broader regional hybrid road and topography map is handy should have to abandon an area entirely during a displacement event (such as a hurricane). Vehicle-oriented maps are not made for off-roading it – a topo can provide helpful tips about both natural resources and harder terrain should you end up having to set off on foot or otherwise leave the beaten path.
National (Interstate or Country): The bigger it gets the more extreme the disaster likely to be associated with needing to a map. A local one is good for a flood, a regional for a hurricane but a national … well, things would have to go seriously wrong for that to happen. This might not be a map you need or want in your short-term Bug Out Bag, since it is really not geared for the long-distance, cross-country survivalist. Moreover, for it to feature enough detail to be useful over longer treks it would have to be big (a road atlas) and waterproofed too.
Depending upon how you choose to pack emergency supplies, these maps might all fit a different part of your ‘survival set’ – or you might want to duplicate the medium-range one for both your BOB and longer-term pack. Another option is to create duplicates of each so you can mark up one experimentally, personalizing it without compromising your primary copy. Federal agencies like FEMA might be helpful, or they might not arrive in time – either way, it pays to be prepared.