Wow, what a fascinating question. Most of us reading this post are realizing that we have failed to be regularly grateful for our double sinks, garbage disposals and trash collection services.
When I was growing up, we had a trash compactor, but I don't even know if they make them anymore? My mother would save every container (like milk cartons), fill with garbage, and seal it with tape (to keep the bugs out.) She also put coffee grounds, egg shells, etc. straight into the garden without composting. Burning regulations vary by area. Call your city hall to see what they are in your area. And consider bribing your husband with an extra special dinner if he makes a trash run more often.
Your septic tank probably can't handle it, but another idea would be to put yucky but nongreasy stuff in a good blender, with water if needed, so that it is pourable down the sink or toilet in a pinch.
Also, if you don't already, you may want to consider cooking things down to the bone, literally, so that you have fewer scraps. I make a big batch of broth once a week. During the week, I throw all my vegetable trimmings, bones, and most leftovers, in a freezer bag. When it's full I just simmer it all day, adding a touch of apple cider vinegar to help draw out the minerals in the bones. Then I pick out the bones and put them back in the freezer bag, and use them again and again until they turn to mush.
I use the broth for everything. Soup, of course, but also for stews, cooking beans and rice, sometimes just drinking it straight for a snack. It makes everything more flavorful and nutritious. Also never assume any food is unedible; question it all and look it all up online. I make a lovely side dish of wilted radish tops along with stir-fry radishes, even though most people probably throw the radish tops away. Citrus rinds can be dried and used in recipes. I even sort out melon seeds and roast them or put them straight into smoothies. My latest cooking adventure is making Greek yogurt from scratch (yum to the max) and I even save the whey and add it to my oatmeal and soups.
So, my basic tip would be to try to figure out creative ways to eat food. In the olden days, the saying was that they'd use everything except the squeel, and they probably did that largely from being in a situation similar to yours, which sounds deliciously like a wonderful pioneer lifestyle!