In a catastrophic situation, you have two options: hunker down, or walk out (never drive). Staying put means that you can stockpile a few weeks worth of food and water.
Walking out means that you might eventually get to a place not affected, but it requires a lot more preparation. Have cash, food + water for a few days, two flashlights, first aid kit, compass, paper maps in ziploc bags, a knife, axe, portable stove, pot, fork, spoon, nylon cord, poncho, polar fleece, spare leather shoes, socks, warm hat, multiple redundant sources of fire, and possibly some luxuries like a tarp if you can handle the weight (but better not to). And know something about survival in the woods.
You take your chances either way.