A must is the "Salzkammergut" Area to the East of the city of Salzburg, although sometimes crowded, you will find a lot of lakes and mountain roads without Motorways. Also worth a visit and not crowded is the "Gesäuse" Region, which is more or less the valley of the "Enns" River east of the city of "Liezen" in Styria, a wild and scenic landscape, at the end of which you might find yourself in "Mariazell". Other Regions worthwhile mogging are around the "Wachau" in the Donau valley and south of "Graz", as well as crossing the not so high (about 950 meters) mountain range from "Graz" to the West, where you soon will find yourself in the "Lavanttal" Region in Carinthia. Following the "Drau" Valley to the West you will find the wonderful Lakes of Carinthia and finally the circle is closed when you reach the "Matrei" Area mentioned by Heinz. Many wonderful mountain roads cross the "Alps" from Carinthia to the north, avoiding the Motorways and the tunnels (eg try the "Lieser" valley from "Spittal an der Drau" to the "Katschberg Pass" and the "Radstädter Tauern" to the city of "Radstadt"), you might also like the road called "Nockalm Strasse" to the east. Be warned: some of the roads mentioned are toll roads, but I am sure you can afford it.
I wish you lots of fun preparing your holiday in Austria, feel free to pose questions, I will try to answer.
Karl
