Public libraries, coworking spaces, coffee shops, restaurants, Chamber of Commerce, and other business support organizations are always great places to talk to about space to hold sessions. If your city is large enough to have a Google space or a Microsoft HQ you may be able to use their public educational space(s) for full-day events.
The most important thing to remember in looking for, and asking about, space to host a session(s) is to find the benefit for the hosting space. In order to get free space, you may need to introduce why and how the incoming audience will benefit the host. For instance, a coworking space looking for freelance business owners to work in their space may love the opportunity to have fresh faces to tour the facility in exchange for use of a dedicated room for a session (or two). You may even be able to have them be the host of the session to introduce the speaker.
Be creative, we’ve seen sessions held in the Better Business Bureau building, city government buildings, City Hall, and outdoor parks. Sometimes the most interesting and eclectic spaces make the best experiences.