Does Debut Video Capture Software have a Facecam - where you can record playing the game (screen camera) and a little window in which it is you playing the game (webcam)?
The product records everything what's on the Windows desktop (surface) such as applications and even games, but since games use Direct 3D technology, it's possible that the result won't be a satisfying one, but still you can try.
If you have a webcam and you need to capture the game, smartpixel is a nice choice: http://smartpixel.software.informer.com/.
2020 now. Screen Capture could be a good option as well. I can record in 1080p smoothly. Maybe it could help you.