It sounds like you want to have the user download the file and also redirect the browser to a different page. EBD does not have that capability. You would have to write some custom javascript to do that … and I’m not sure how well it would work in various browsers. Might work fine & be consistent, but it might not.
If you search the web you’ll find various javascript suggestions for clicking on a link and both downloading a file and redirecting the browser, such as https://stackoverflow.com/questions/6894900/download-a-file-via-jquery-and-redirect
Of course, you’ll have to figure out how to target the link that EBD adds to the page (via ajax update). Or, modify the plugin php code and put the javascript in there in advance. Either way will take some trial and error I would guess. Plus, testing with various browsers. Plus, if your download file is PDF then that could make things more complicated as well.
Good luck…