We're a no-TV family (although we do sometimes watch movies on the computer.) My husband is an actor and he is often on the road, so I'm totally on my own a lot of the time.
I think part of your problem may be that you are trying to organize your children's whole day. Naturally, this leads to burnout ("I find myself out of energy and ideas by 4:00") and to their expecting you to entertain them all the time.
There are a number of things I have to accomplish during the day that do not directly involve my 2 1/2 year old ds. These include: keeping the house fires burning, sweeping up the ashes, fetching wood, cooking, cleaning dishes, gardening work, doing the laundry, and also yoga and playing the piano - which keep me sane and healthy. DS helps me with things that are within his abilities, such as mixing up batter or bringing in kindling, but when I can't involve him, either I just let him be nearby and we chat and gently tease each other, or he finds something else to do. At other times, I focus directly on him by reading, or helping him with his paint set or a puzzle or something like that.
IMO, you should think about transitioning to a model where you don't *have* to constantly invent amusements for the kids or else leave them to the tender mercies of the TV. Much of AP is based on tribal or prehistoric parenting methods, and I don't think there are too many tribes where mothers have nothing other than kiddie play on their daily "to do" list. Also, I know some older people who, when their kids complained of being bored, gave them chores. They learned to stop complaining and amuse themselves right fast!
In terms of making the transition, try going about the things you have to do and singing songs or reciting nursery rhymes. Put on some funny music that they can sing along with, or some very rhythmic music that they can play instruments along to. Keep healthy snacks out on the table for them. I would spare them the "TV is bad for you" lecture, they are way too young to understand. I've heard of famlies who got rid of their TV telling the kids it was "broken." This may or may not be your kind of approach, but it would be a way to go cold turkey.
Hope this helps.
Melinda & Squeak