Hmm, that IE Tab plug-in might do the trick then. It's not on all the time, it's not obtrusive, and you never have to leave Chrome; just click a button and it reopens the page you're on, within the same tab, but rendered through IE's engine. When you're finished, just hit the x button within the page and it closes back to the original page. It's not elegant, but it works.
Alternatively, maybe try using VLC or mplayer classic as the default media player? VLC has a browser plug-in you can opt for during install, not sure about MPC.
Also, have you checked to make sure the plugins are enabled? You can find out by typing
in the address bar. Seems unlikely that would be the problem, but it doesn't hurt to check.
Aaaaand that's about alls I gots. Hope it wasn't completely useless
