Sys admin here. Even though you reinstalled your OS you still have a chance at recovering the file. it may not be sitting in same sector as where you installed on. i have recovered files from formatted computers that have been reinstalled on several time. There is no harm in trying! that said! Your mishap has made me double my backups!
I just bought another 2 r9 290x's bringing for my new Cann miner

3 more to go an ill have the full 6 cards machine running on it plus my other 2 pcs mining it now. Keep up the good work dev! Here in Australia were are hoping from legislative reform for medical cannabis use. With America leading the way Australia tends to eventually follow and ill do anything i Cann to support it.