My wife does Keto. For a 10 day, 100 mile trek she needed every kind of calorie she could get. She ate everything in sight and still lost a little weight over the trek. She went back to keto afterwards and was fine.
For a three day and making your own meals, I think you could definitely dehydrate your meals and stay on your plan and get enough energy. A buddy of mine has made several dehydrated meals for some of our shorter hikes. Dehydrated, vacuum packed, pretty cool and they ate well. As good as Mountain Houses.
He sent me the following pointers. Obviously bread isn't on your list but hopefully overall helpful info.
- For each day of food, start that number of weeks prior to the trip.
- One food item at a time
- When prepping, uniform pieces make a huge difference.
- You need to mix bread crumbs in with ground hamburger, 1/2-cup to 1 lb of meat, prior to cooking. Use the leanest meat you can afford. Excess fat and oils lead to shorter shelf life. Talking weeks instead of months. The bread crumb helps soften the meat during rehydration. It make a significant difference; the difference between eating rocks and jerky…
- The website: https://www.backpackingchef.com/ is my main source for dehydrating food. I have his book (I don't know where it is though!?!) Worth the purchase.