The 30 some posts in this thread barely helped the guy. -_-;
Check out OSflash.org for alternatives to the Flash IDE. Flash itself is not free, but the "language"(Actionscript) is, Open source evem. The free implementation is called Flex and can be found in the Adobe site. Unlike regular Flash movies, Flex applications are completely made in Actionscript with imported assets(images, sounds, etc) via code, which makes it more of a Developers tool rather than an animators, mainly because there's no IDE(Integrated Development Environment, the stage, library, etc, it's all code. You have to visualize it in your head).
Like someone else said your best bet would be to find another software that exports as swf. Flash itself isn't such a great animator program.
BTW, Flixel is an actionscript library that gives it great control over raster graphics, speed and etc. It has nothing to do with animation. :/