Carla Garrity and Mitchell A. Baris, Caught in the Middle: Protecting the Children of High-Conflict Divorce -- but that's really about "high-conflict."
Julie A. Ross, Joint Custody with a Jerk: Raising a Child with an Uncooperative Ex.
M. Gary Neuman, Helping Your Kids Cope With Divorce the Sandcastles Way.
Nicholas Long, Making Divorce Easier on your Child.
I suspect the reason you don't see DB-with-kids literature is that the concept is too nuanced for children. If they think you're DB'ing -- and have some sense that means you're trying to get Mommy/Daddy to come home -- and you "succeed" at "failing" (you're better but the D is still on), then this would (it seems to me) simply have the effect of making it worse on the kids.
Franky I don't think they should know you're (we're) DB'ing at all. "But I thought you were going to make Mommy/Daddy come home!"