So have you done the actual animation and are now trying to sync it to music, or do you want to animate it to music?
I've never used Dragon to sync my sound, but I hear the audio quality comes out rather lousy when you export. You can probably use it for the animation process though, and then lay on the music in another program. You may want to consider exporting your animation files into film editing software like FinalCut Pro and doing the final sync there. It's really expensive to buy, but if you only need it for one project you could download a trial version. I use it for my films and it is really easy and efficient. If you want to go for something simpler and are a mac user, iMovie is probably the way to go. FrameThief is a decent free stop motion program for pc, but I'm not sure if does audio syncing.
I hope you find a good solution. Good luck with your project!