It seems that a regular install of Ubuntu will not work on that thing. See this from the Beaglebone website:
http://beagleboard.org/project/ubuntu/
There are some graphics problems noted there as well.
You could always contact the Beaglebone people and ask them if the system is up to running audacity on Ubuntu.
I would think that you would need a more powerful system for audio editing if you want it to perform well.