In the Nvidia control panel, under "Manage 3D Settings" -> "Global Settings" there's an option called "Preferred refresh rate (Anchor Communications...)"
Try changing it to "Application Controlled" (if it isn't already) instead of "Highest Available" and see if that could potentially be the problem. Make sure your games are set to the correct resolution in-game (1366x768)
The adaptor could possibly make the Nvidia driver think the higher resolution is correct (as suggested above by 47454544b), and the setting mentioned above, would make the resolution change to maximum possible when launching a game - which would result in the out of range error
I'm not sure it is the problem at all, but it is easy to double check, so I'd say it is worth a shot, you never know..
If it doesn't fix the problem, at least you can cross one potential issue off the list