I have a lot of experience living without any electricity, i.e. no fridge, no microwave, no hot plate.

Many grains can be soaked overnight. A hefty sack of quinoa or oats or lentils will be the most affordable, nutritious, and convenient way to eat... all are completely edible after 24 hours in water. After grains, you want to include a lot of seeds in your diet - sesame, sunflower, peanuts, and so on, are always cheap. Fruits, vegetables, as available, then add oils, and salt and seasoning.

What you should do is get a single element electric stove from WalMart for $20 and follow the above advice: warm up the overnight stuff for five minutes in the bathroom where you're less likely to set off an alarm.