I'm having something of a similar issue where I've finished Winds of Steel (and Built to Last) with the knights, and I can talk to Clyver about an invitation to the Animancy hearings and he agrees to sponsor me, but when I return to Lady Webb I only have a dialogue option of telling her that I've burned bridges with all 3 groups. At this point I've done no quests with house Doemenel, in fact I can't even remember if I've been inside their house, and the only quest I've done involving the Dozens was Rogue Knight.