The "experience place" that I would like to go to is like a kindergarten for hackers, a "hackergarten". It would let me play with many things that are too much of a commitment to do at home, like gardening or small woodwork or microcontroller electronics, and also it could have micro-courses, like a 2 hour lecture on magic tricks or kite building or simple chemistry.
Some hackerspaces are much like you describe, although, they are not as well organized to accept low-commitment walk-ins at any hour of the day. But that sounds like an interesting way to keep the space going -- half the space is entry-level fun at a modest price, half the space is the usual craziness.