There is a series of about 5 booklets published by the St. Kilda Tramway Museum that cover most of the Adelaide tramway system. Examples of titles include "The Northern Lines", "Parade to Kensington", "Southern Lines" etc. These were published in late 1990s and may still be available (for purchase) from the AETM at St Kilda. There's also a separate earlier and rather more detailed book by Christopher Steele called "The Burnside Lines".
All these books cover a lot of detail on operation of the Adelaide street tramlines, including info on through-routing and city termini, but I don't think any of them have detailed track maps.
If you live in Adelaide, I'm pretty sure you can refer to all of these books at the S.A. State Library on North Terrace. You can photocopy them, but cannot borrow them. You will also have to request them from the library storage, as they are fairly specialized items and are not on the open shelf. But this is fairly painless if you can wait 20 minutes or so for the librarian to retrieve them.