I have no comments about your DBF not helping around the house because mine is just as bad. He works full time and I work part time and go to school part time, PreN. I do EVERYTHING around the house because I cannot stand the mess it gets to be if I wait around for him to do something. I make cooking, taking care of the pets, and doing laundry my top priorities AFTER school work and studying. Everything else has to wait.
AS for cooking, here are some of my tips: do as much cooking on your days "off" as you can. I LOVE my crockpot! You can buy those great frozen dinners to put in them now, too. They aren't exactly healthy but are good for something easy. I make my favorite recipes, double or maybe TRIPLE the servings and store everything extra in the freezer in individual servings for later. I do this because I am following Weight Watchers and measure my food portions but it is great for either of us to just grab something and pop it in the micro and go! I make up pasta bakes with whole wheat pasta and low fat cheese, stuffed shells, chicken dishes, lots and lots of soups, etc. I don't make anything that requires a whole lot of time. Also, I buddy up with my mom and we both cook things at the same time and then split everything. We get TWICE the meals and treats and baked goods for the same amount of work. We sync up our grocery lists, too, and cook meals together to freeze. I also buy lots of healthy canned soups, frozen dinners, boxed meals, side dishes, etc that I can add to our meals. Also, while stuff is baking in the oven, I clean up around the house or study flash cards, etc. I keep REALLY busy on my "days off" but I know it will be worth it in the long run.
Hope that helps!