I just did some calculations concerning the AAP (adoption assistance). If the children were not with the family for approximately 8 years that the parents received the AAP, that comes up to about $800-900/month per child. Depending on the state that placed the children with the Bryants, that was a typical "specialized rate" at the time of their placement. A basic rate is equal to a basic foster care amount--at the time, $300-500/month. If my assumptions are correct, these children had a reasonably high level of need.
If a family needs more funds for treatment, respite, property repair, or in home services, they can formally request it and even ask for a state fair hearing to be awarded it. If the children were too much for them to handle, DHS would have removed them. Sometimes, however, that's far harder than it should be. I've had families beg to have a challenging child removed for months before it happens as there are so few homes available. That is courting disaster as it puts the child in danger and the family in crisis.
There's just so so much wrong here and I happen to know far more than I wish I did.