I'm having the same issue with my text, and all I'm doing is adjusting the alpha on my text. I'm considering getting a 3rd party software to convert my swf to avi.
Another option is to do a screen capture. Lots of choice in software.
Google "screen capture software" for more info.
Try breaking apart the text until it is actual vectors.
Or try exporting as a PNG sequence, import into After Effects or Premiere or your favorite video editor and export to AVI.
@ Chris - thanks for the advice, breaking apart the text worked. Now I just need to figure out why the avi I've exported is slowing down to about 10 fps (set initially to 30 fps).