I'm no expert, but here are my ideas, FWIW ...

First things first: kudos for recognizing that you're in a situation that could turn sour in a hurry. Facing that fact, and doing something about it, is more than a lot of people seem willing to do.

I feel it would be very difficult to make ends meet in your location for more than a few weeks. Even that assumes you have adequate food resources, water and water treatment gear, and the ability to lay very, very low (be invisible, fly under the radar).

Travel, as you suggest, would be extremely difficult and risky at first. But I would imagine that after 2-3 weeks, even in a disaster, it may be possible. Motorcycle? Bicycle? On foot?

At that point, I would say you need to bug out. You simply don't have the resources around you to sustain yourself. Do you have relatives you could make arrangements with? You need a reachable location that will be expecting you. (If you arrange this beforehand, and show up with useful skills and attitudes, you will probably find a welcome.)

Anyway, that's my take on it.