I also deal with fatigue issues--and if I do try to "push through" anyway (hahaha), I get cluster headaches and quite literally want to shoot myself. So I've learned not to push myself too hard. While I am definitely still figuring all this out (going into third year homeschooling), things are STARTING to work for me. This year, I'll have a 2nd grader, K-er, 3yo, and 1yo. Our schedule for this fall is based on a WHOLE lot of adjusting over the past months.
We do six 7-week terms spread out through the year, with 4-day weeks. This allows a day off for errands, holidays (like a child's birthday!), or a sick day. That day can shift from week to week to accommodate whatever it needs to. I only do basic straightening up, laundry, and cooking during terms. ANY deep cleaning gets done between terms, or by loving family members if they're feeling generous :P Oh, and we count VBS and weekend field trips with Daddy as school days, so we're hitting the standard attendance numbers!
School runs from 9-11:30; that includes a little flex time each day for rest and/or nursing breaks. We do Bible reading and verse memorization over breakfast; living books for history and science over lunch; and chapter book readings over afternoon snack. Laundry gets moved before each meal (I need the mental association to remember to do it!)
Quiet time is 2-3:30; the littles and I either lay down or actually nap--this is crucial for me!! If I know I have a rest period coming in the afternoon, I am more able to keep going in the morning. The bigs do some independent reading and are then free to have screen time til snack.
After quiet time is snack, then I have a 1/2 hour of chores. Then after chores, by which time I'm exhausted, I sit down, watch cooking shows, and fold laundry while the kids play outside... which leaves me reasonably rested for the evening with the family.
One HUGE HUGE thing for me has been doing habit training with my kids. We definitely don't have it all down where I'd like it, but the kids do know some basics. Dd7 empties and loads the dishwasher... the kids help clear the table after meals... the biggest two put away their own clothes (not neatly, but as long as they make it IN the drawers I'm happy!)... the kids know how to use the microwave to make oatmeal or heat up leftovers. I'm trying to work on a few things consistently at a time, til they are well-learned, before moving on to new training.
Oh, and I make quiche, hardboiled eggs, scotch eggs, etc ahead whenever I have a good day with energy... that way I don't have to get up early and cook to have a decent breakfast. And we use our crockpot a lot!
And if I'm totally whipped and flat on my back, we either do school in bed, or they attend the School of Netflix and watch National Geographic and How It's Made all day :D
Sorry that was way longer than planned! I hope it helps some!