No, there is not a specific area dedicated to her. Crossed my mind, but, so far, nothing I have provided for her amusement, except the corrugated boxes, has held her interest for more than a moment or two. Some of them are quite complex, with varied shapes, colors, textures. A pleasant sounding bell, a rubbery chew thing, with nooks for treats, all ignored. Even the treats nestled in them.
It seemed she would just make a "bird line" for her latest chosen destruction area and go at it. Per the advice of the person I adopted from, I am keeping her in her cage, except when I specifically make play time, or cage clean time. Sometimes just to hang out. While she has adjusted to this, I don't like it and do not think it is a good long term solution.
So, I hesitate to spend any effort to create such a spot as her history indicated she will ignore it. Short of dedicating a room, or area, or building an addition that could double as an aviary, and essentially preventing access to the rest of the house, I don't see a good solution.