This is one reason I went with a basically non-GUI distribution, I also do not want/need a mouse. I will in fact be installing a desktop/window manager, but will always be able to start GUI applications from the command line. That is something you should be able to do in Raspbian as well, but I have no idea how to get to the command line with your GUI. Once you are there, applications can be started with their names, although you may have to export the display (I do not recall syntax to do the display export).
Also, accessibility is the key word, if a working answer does not come along, you might consider posting a broader question in General Discussion or What Software, asking which distribution(s) for the Pi were built with accessibility in mind.
The following is the closest topic I could find where the issue is being discussed:
View topic - Accessibility, Screen Readers and Remote Initial Login?
http://www.raspberrypi.org/phpBB3/viewt ... 1&p=214200
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