Aedan Cousland - Loghain executed by Alistair; Alistair remained with the Wardens; Aedan made Teyrn of Gwaren and married Anora to rule alongside her as Prince-Consort; Aedan fulfilled Morrigan's Dark Ritual.
Solona Amell - Loghain executed by Solona; (hardened) Alistair and Anora ruling jointly; Solona died while killing Urthemiel.
Cristiel Mahariel - Loghain recruited into Grey Wardens and sacrificed to kill Urthemiel; (hardened) Alistair and Anora ruling together; Cristiel requested lands for the Dalish to settle.
Faren Brosca - Anora rules alone; Alistair executed to ensure Anora's position; Loghain recruited into Grey Wardens; Loghain forced to fulfill Morrigan's Dark Ritual; Faren killed Urthemiel and was named Teyrn of Gwaren.
Alyria Tabris - (hardened) Alistair rules alone; Loghain executed by Alistair; Anora imprisoned to ensure Alistair's position; Alyria died while killing Urthemiel.
Duran Aeducan - Loghain executed by Alistair; (hardened) Alistair and Anora ruling jointly; Duran fulfilled Morrigan's Dark Ritual; Duran killed Urthemiel and requested Fereldan military aid against the darkspawn in the Deep Roads.
I consider Aedan to be my "canon," and I think Faren's bloodbath through Fereldan would make for an interesting background. I expect at least three playthroughs in DAI, but haven't decided yet which of the other four above scenarios will form the background for that run.