That's great Clay - having configured windows shared servers for team collaboration is ideal.
For anyone else who doesn't share the same setup and maybe not working within a team environment, writing to a network drive with the same file open is simply risky. Always has been and probably always will be as long as we're on a giant rock hurdling through space at thousands of miles per hour. I stand behind my advice and still recommend working locally and then copying files to a network drive. It has worked for me for too many years. As for version control, I have my own system in place to handle that by keeping it simple: simply save the file with a new name that involves incremental numerical nomenclature.
"MyFile_01.fla"
"MyFile_02.fla"
"MyFile_03.fla"
But I'm just a simple caveman animator 
@Donny Rowles can you save other file formats to your server? I would suggest contacting QNAP to ask them about configuring the server to allow you to read/write to it with a file open.