I have done exactly that. I also have scanned copies of all important paperwork - marriage license, car registrations, birth certificates, etc. Scanned credit cards, scanned professional licenses (along with text files that contain the same information you'd see on the scans). Recent pictures of family members, home, and pets. You name it - anything you might need during a disaster, or afterwards to help you reestablish your identity.
All of this is strongly encrypted, or course! Otherwise, you're baiting the identity thieves like baiting a shark with a side of beef!