This may seem an bass-ackwards way of getting onto the AW blogroll for all Wordpress.com users, but you could just include the entire blogroll before each and every post (inserted as links).
Ridiculous it may be, but I can't figure a way around the inherent problem of not having Java support. I've tried attacking the problem numerous ways, but there is no easy 'fix' unless Wordpress adds extra functionality.
ETA: There is a way to get the list of blogs up, but it requires manually inserting the links. Open up Appearance > Widgets and drop a text box into the sidebar. Fill out the names of the blogs on the list (which I expect will be around - somewhere) and save changes.
You'll need to manually insert new blogs as they are added, and remove old blogs as they are taken off the list, but it is the only way I can see the problem being fixed.
Awaiting confirmation that Wordpress users will be allowed to implement this to get themselves onto the blogroll.