One approach you can take is to point Firefox at a frameset instead of directly at your page, then add some javascript in the parent which reloads the frame. Since the parent page doesn't reload it doesn't get stuck when connectivity is lost and continues to attempt to reload the target page.
Another possibility would be to write an addon to Firefox. The ErrorZilla extension replaces the standard error page, it's under the MPL so you could have a look at the code and change the page to do what you want.