What you are looking to do is not impossible, but try exporting to swf and importing the finished file into Flash. This should be do able.

In fact let me give it a whirl... I'll get back to you soon.

Back now...

OK this exporter is only for use with Director. So render as normal use videomach (or similar), I use quicktime Pro, and open the image sequence save your movie as a mov file and import it onto the library that way. there appears to be no way to export directly to flash from maya, it seems.