What about slow cookers? I use mine a LOT year round, uses 170 watts. (Look on the bottom, the wattage should be listed). In the summer, you could use it outdoors if you have a plug there somewhere. You can even bake potatoes in them. Maybe if you cooked something on low, out in the sun, it would heat like it was cooking on high.
My mother told me that years ago people had porches on the front and back of their houses. They cooked on the warmer porch in the winter, the cooler porch in the summer. I'm sure they didn't have two stoves, so I don't know how they accomplished that... Honestly, it gets so hot here in the summer, I wouldn't consider wood heat for cooking then.
Would an outdoor cooking area appeal to you? Just a little campfire with grill rack over it? There are some designs for simple DIY grills using concrete blocks. Probably several different ways to go about it, and it'd be a lot cooler in the house. I'm going to try water bath canning in a metal tub outside this year.
You might want to check out simple hay box cookers. If you're cooking for one, a wide mouth thermos can be used, too. And YAY, solar ovens! I baked a respectable loaf of bread in one.
For laundry, you can soak your clothes for several hours and then run them on the shortest wash setting. They'll be really clean. Or, do it like 'No Impact Man'. Soak them in the bathtub for three hours, then get in there barefoot and stomp away. I think you can still get a wringer from Lehmans.