In a triple screen environment you can use Windows Display Settings to mirror your center monitor (display 1) to a fourth monitor, which would be an output to the second computer and a capture card. I would recommend the BlackMagic Intensity Pro 4k, but I am not sure if they ever got OBS and Windows drivers to sync well. I just use the provided BlackMagic capture software (Media Express), but since the video stream will be uncompressed it does take a RAID array to record fast enough.
There are many software solutions that can capture directly from the Media Express display, like Loilo Game Recorder. FRAPS may work, also. I prefer the uncompressed avi, because I like to toy around with 'enhancing' video explosions in Houdini and things like that.