I also am in the same boat. I've made quite a few Flash projectors for musea and that was always a very straightforward workflow. Flash is still a wonderfull tool. But indeed they now want to show it on the web too and that means support for operating sytems that don't support Flash anymore.
I think html5 and Hype in particular are the best way for these new kiosk questions. but I'm afraid it will take a lot more effort. So no real answers from me, but also struggling in this field. Not working on any kiosks lately so I cannot share my experiences.
For Kioskmode you can use kiosksettings that some browsers offer, or use dedicated software for that. i believe there is a thread here that discusses the options. There are also ways to force a browser to go fullscreen, but that is also a bit tricky road.
I hope some more on this topic will show up here.