we used to go into the public library (just on the ground floor inside the building). it is NEVER busy, air conditioned and has a bench. it's not comfortable, but it is usable. it is in public, but just take a shawl or something. i've been in there numerous times (with my own kids plus with bf mums visiting from overseas) and have only ever seen a handful of people wander through. there are large windows but they are tinted, so you can't really see in too well (besides most people in this part of stanley are NOT trying to see in windows, they are too busy shopping).