I assume there will be no difference if it comes to your stuttering, but if you only record and not stream, it's recommended to use CQP as rate control, no bitrate-orientated rate control. In your setup, in the recording tab of the output settings, change the encoder from "use stream encoder" to "nvenc (new)" and set CQP as rate control. As CQ value use a value around 18-20 (lower values mean higher quality).
This will result in the recommended recording setup, but as I said, I doubt it will fix your stutter issue. You did everything else correctly, as far as I see it. Perhaps you try display capture instead of game capture. This is not the recommended capture setup if game capture works and doesn't result in a black screen, but just try and see what will happen with your stutter.