I'm not an expert either but you will need something else besides just fatheads. You say the bass will feed on the crappie and the crappie will feed on the minnows but the little crappie have to feed on something as they grow to bass food. The baby crappie will be super numerous and they will eat the baby fatheads. The fatheads won't make it long enough for the big crappie to eat.
I like your thinking outside the box but if it is possible to do without bluegills, you need to add something in their place. If you're far enough south threadfins might help. A type of shiner? Stocking gambusias each spring? Something