This is a strict south-to-north list of the duel locations, this is not the required order (if there shall be one) for the Duel Rush category.
There are four on Iki. Obviously these are excluded in a "no DLC" run
The Eagle
The Viper
Khunbish
Black Hand Riku (Duel in the Pit of Darkness)
There are five in Izuhara
Warlord Harunari
Kaede (Duel at Tadayori's Rest)
Yasuhira Koga
Tengu Demon (Duel of Demons)
First duel with Ryuzo
There are twelve in Toyotama
Yasumasa (Duel in the Drowning Marsh)
Hirotsune (Duel Among the Spider Lilies)
The Spirit of Yarikawa
Altan
General Temuge
Masako
Tomotsugu (Duel of Crashing Waves)
Kiyochika (Duel Under Falling Water)
Kojiro (Duel on the Mirror of Sacred Light)
Lord Shimura
Kanetomo (Duel Under Autumn Leaves)
Second duel with Ryuzo
There are only two in Kamiagata
Khotun Khan
Bettomaru