Regarding Evi's death, I don't think Dalinar killed her. The whole scene is described as hostage and vengeance, and a long march full of hatred. I think that when he finally found her he failed to save her, hence the "You are not infallible". From there, consumed by the Thrill, he slaughtered everyone he saw, including unharmed men, children, women related to the kidnapper (Rathalas?) to a degree with shocked even Kadash and drove him to the Ardentia.
Just my opinion, but I see the Thrill and the rampage as a consequence of Evi's death, not a cause.