How much time do you have before you start your renovation? If I were you, I would cook as much beef/chicken/pork as you can beforehand and freeze it. For my family, if you have the meat already cooked, you can ready a meal in a hurry with very few fixings. If you season the meat as generically as possible (like maybe only salt and pepper), you can dress it up however you need it.
I second the idea of an electric skillet. Do you have a camp stove? If you have a camp stove, you wouldn't need the skillet.
Anyway, with your meat already cooked, you can fix tacos, bbq, or meat pasta sauce. You can chop up the meat to put on salads or a baked potato. If you have a larger pan of some sort, you can make small amounts of soups and stews (use canned broth/gravy).
Um, shoot -- I just sort of assumed you'd still have your fridge plugged in somewhere. You won't be living out of an ice chest, will you?
What would probably help would be for you to sit down and come up with two weeks' worth of dinners that you think you could cook with the minimal prep space you have. Then take a good look at that list. Will you be able to live with eating (almost only) those meals for a few months?
I haven't done a kitchen remodel. I'm in the midst of adding a gameroom over my garage, and as part of that we moved/replaced the hot water heaters. We're also repainting and recarpeting the whole house. This has been enough of an uproar for me! I feel like we've had to move out of our house, but still live here.

We're in the home stretch (painting started last week), but I'm still wondering "WHAT WERE WE THINKING????"
Ugh.
Surely all the changes will be worth it when it's done -- for you and me both!
Good luck!