It's still just a flash app right? I've had problems with flash in Ubuntu before. IIRC, it comes with some really crappy third-party FLV decoder, that undermines Adobe. Can you watch any other streaming video in Ubuntu. Youtube? What about Hulu or other flash formats?
I'm not sure this is the problem, but open up your synaptic pckg. mngr. and do a search for "swfdec". If you have the "swf-dec" plugin installed for Mozilla- uninstall it. Then do a search for Adobe and either install or re-install their flash plugin. Adobe won't work until you get that non-functioning swf off your machine.
Running IE in WINE would probably work, but I've yet to experiment with it much myself so I have no advice. My general assumption about WINE is that it can be a total pain in the ass. I just keep xp and soon to be 7, on an old machine.