Have you considered Ranorex (http://www.ranorex.com/web-test-automation.html)? With this tool you can automate your tests for a lot of different technologies, including Flash and Flex. Regression testing can also be done. However, the downside is that it is not free.
How can I automate flash sites
Our company uses Storyline and Captivate tools to create ELearning courses. These output in flash. I'd like to setup some simple automation tests for our regression suites. Ideally at no cost. Appreciate any inputs. Thanks
It seems that FlashSelenium is probably your best hope. This library extends the WebDriver API so that Flash/Flex UI components are accessible.
You can read about this library here: