Hello and welcome to the forum.
This is really just a wild guess as you seem to have tried everything else it might be worth testing just to see if it proves useful.
Apple devices seem to love and enjoy using a service called Bonjour (mDNSresponder.exe), Windows 7, not so much. Try stopping the service and temporarily setting its' start-up type to disable and see if you can push the larger file to the NAS.
Alternately try mapping the NAS drive using the IP address rather than a netBIOS name to avoid any issues with any name resolution protocol.
Just a shot in the dark.
Regards
Randy