Dorm rooms at the University of Minnesota are available as a cheap form of housing during ZLuC. The cost is $61 per person, per day (tax included) for a private room, and $46 per person, per day (tax included) for a shared room. Find more information and a reservation link here. (When asked “What is bringing you to campus?” on the form you can answer: “Zine Librarians unConference 2018, co-sponsored by UMN Libraries; event located in the Architecture Library”.)
Unfortunately, the one hostel in Minneapolis is already booked during the dates of ZLuC. Cheaper hotels range from $90-150/night near downtown.