Move your refrigerator out of the kitchen to a temporary place where you can continue to use it to store perishable food. A dining room near the actual kitchen would be ideal. Make a space where you can store imperishable foods, such as canned and dry food; an old cupboard from your existing kitchen might work.
Create a small workspace where you can prepare foods -- any tabletop is sufficient. Set up the microwave, hot plate, crock pot, indoor grill, toaster oven and coffee maker on this table.
Perform the preparatory work of chopping and dicing vegetables and fruits on the cutting board. Open cans with the manual can opener. Use bottled water for cooking.
Saute vegetables in a skillet on the hot plate. Cook any foods you would cook on the stove top in pots and pans on the hot plate. Cook microwave meals and warm foods in the microwave. Prepare one-dish meals in the slow cooker. Cook steaks, burgers, boneless chicken breasts and chops on the indoor grill. Bake small items in the toaster oven.
Serve meals on paper plates with plastic ware to reduce the dishes you must wash. Wash the dishes and utensils you cook with in the bathtub or laundry tub.