I was fortunate in one respect after Super Storm Sandy. I had been training for the NYC Marathon,so I was able to put in the mileage around a blacked out Manhattan when I needed to.

I trained for two years though, with the close supervision of a doctor.

One thing I might suggest is to run/walk at a pace that keeps your heart rate at 80% of maximum (as opposed to running for X minute per mile goals). Building aerobic capacity offers the benefit of a lower resting pulse rate. The heart doesn't have to work as hard at rest, enabling you to recover from exertion faster. A great plus in stressful times.