Skuld HJG
A friend of mine did it for table-top, so I know it can be done. There are ways of doing the campaign without causing a schism with canon. For example, the campaign that my friend ran actually came up with an explanation of why you didn't see any TIE fighters trying to stop the evacuation of Hoth.
That ties in with what I said about weaving the original story with your plot. You are the cause of some of the unexplained events. Also, because the movies can only focus on so many locations at a time, I'm sure you can venture to the more unexplained territories, like Kashyyk, Nar Shadda, and Dormund Kaas, to name a few.