HOWEVER, the same file recovery tool turned up an Autosave.anme file on my desktop PC (the last place I'd opened the project). When I try to open it, though, I get this:

I've uploaded the file here. If anyone can figure out how to fix this, I would be eternally grateful. Heck, I'll put your name in the credits.
And just in case it's useful info: My desktop PC is running Windows 7 32-bit, and my laptop is running Windows 7 64-bit.