When driving from Davos to Bad Gastein (presumably via Innsbruck), take the Gerlos Pass instead of driving via Wörgl and stop at the Krimml Waterfalls. Bad Gastein is one valley east of the Grossglockner High Alpine Road, a very scenic driving experience. The Dachstein is also close to Bad Gastein with wonderful views from the top, accessible by cable car. From Graz, venture south to the scenic Styrian wine region close to the Slovene border. On your way from Graz to Venice, you may be interested in stopping at Lake Bled or Ljubljana in Slovenia or the ruins of Aquileia in Friuli, one of the less-visited regions of Italy. If you go to Slovenia, you will need the Slovenian vignette in addition to the Swiss and Austrian ones, as Nigel mentioned.
Remember that Italy, Germany, Austria and Switzerland do not post speed limit signs with numbers on the approach to or when leaving built up areas and you need to know that when you pass that town sign you must have slowed down to 50 (or sometimes slower).
Hmm, I thought that was the standard around Europe; when you see a town sign, 50 is the speed limit until you reach an "end of town" sign. Are there many countries in Europe where this is not the case?