Reflow "feature" is wrecking our pages

We have an ongoing problem with the reflow feature while on deadline. Our editor is using InCopy to edit stories that are attached to the pages, but if I add any components to a story package that Blox didn't originally put onto the page (i.e. a new photo with a caption), the Reflow dialog will pop up and it will it will wipe out the caption and insert the story's text instead. Is there a way to prevent this from happening? We've learned that sometimes we just have to release the assets rather than allow this to happen.