well, dachstein should be something like 4 hours from vienna, i am not too sure how much it is, cuz i live on the other side of austria, but something like that.
i would say that you have at least 3-4 hours to some serious skiing. vienna seems cool, i havent been there like forever, but i am hearing good stuff about it.
as far as lodges or such stuff is concerned, i dunno. in my area, there are some chances that you can hook up with shapers and when you help them one hour in the park, you could sleep on their couch or something like that. just make sure you get some connections to the local scene of whatever resort you wanna go to (it should be easy, cuz most people wanna be friends with foreign skiers so they can claim it ;) ) .
i bet its not a problem to survive one night if you know a person or two (and if you come to innsbruck or even further, i might be able to help you out, just pm me).
in all seriousness, i read that 3 times, 1st time i thought what the fuck is he on about, read it again and thought, this fuckbag has to be kidding, read it once more and decided calling you a fuckbag wasnt good enough - sick-as-aids