It might well be something she'll grow out of, or at least calm down once she's settled a bit more. A month is no time at all, and she may still be getting used to having a fabulous home, and still be excited by all the things she can do
My Bridge Baby Max was an absolute terror when I first got him, aged about 2. He was a stray, and adapted well to being indoor only, but as soon as the lights went out, he just went nuts tearing around the flat, knocking all the cds and dvds off the shelf, we ended up having to lock him out of the lounge at night as he was causing chaos. He did grow out of it though, once he became more settled, and once we started playing with him more to try and tire him out.
A playmate could also be another solution, as has already been suggested?
I think whatever the outcome, its still very early days, and you are obviously willing to try lots of option as well, so all I can say is hang in there