Your challenge is to have Arianism supplant Nicene Christianity. Nicene Christianity doesn't necessarily have to become extinct, it just has to not be the majority within the religion of Christianity.
Have the various migrating tribes ravage the Eastern Roman empire, perhaps even taking or destroying Constantinople or settling in Asia Minor, weaker Byzantines will be unable to launch various invasions against Arian kingdoms in North Africa, Iberia and Italy, leading to stronger Arianism.
What?Maybe just have different personalities involved. Arius was such a jerk that Santa Claus punched him in the face.
What?