It's been several years since I last played it, but I think the movies are on the CD, and don't install with the rest of the game. Try copying them onto the hard disk, and that should remove the CD drive from the equation. Perhaps it depends on how fast your cd drive is. Most modern drives are about +48/52x.
Unfortunately, I did use DOSBox to get this running the last time I tried, and it did indeed run poorly. It's been a long time since I've had an old enough computer to run this properly.
I can't think of any other suggestions at the moment, but I'll see if there's anything else I can come up with.