A GRAMMAR OF JEWISH BABYLONIAN ARAMAIC is in the works. This is good news, since it is something that is really needed. I hope there will be an English edition too! Shai Heijmans has the story over at the Hebrew and Aramaic Philology blog. For some currently available resources on Babylonian Aramaic, see here. And, of course, there are the Aramaic incantation bowls too.