Is Cam Studio recording the OUTPUTS of the RME Card or the Inputs (not familiar with Cam Studio at all)?  If it is recording the Software Outputs (not generally how Audio Software works), you shouldn't need to do anything but select the RME Driver and CH 1/2 in Cam Studio (will record the digital signal you are sending your Lucid DAC on ADAT 1/2).

What DAW software are you using for the example session?  If it is a modern DAW of any sort, it should allow you to send multiple busses to different RME Outputs.  You could leave your DAW's Main Mix on ADAT 1/2 feeding the Lucid and your Monitors, and then also bus the Mix to another set of outputs in your DAW project - say ADAT 9/10 (on ADAT Port #2).  You might need to create a bus/group or Aux Send in your project to make this happen (all depends on your DAW software).  Then, you can physically connect the RME's ADAT #2 Output to the RME's ADAT #2 Input with a Toslink Cable.  You will now have a duplicate of your DAW's Main Mix on your RME's ADAT 9/10 Inputs to record into Cam Studio (Select RME ADAT 9/10 in Cam Studio). 

If your DAW Software is extremely limited, you might need to cobble something together since the DIGI 9652 doesn't have TotalMix or Loopback.  You might need to Split or "Mult" the Lucid's 1/2 Analog Outputs to be able to feed your Monitors AND then to feed the Lucid's Analog Inputs 1/2 (or 3/4 or whatever).  This would be an analog loopback of a digital signal, but for your instructional video purposes it will probably be OK.  You'd basically use a splitter cable to get the common set of analog outputs to feed 2 different inputs (Feed the Monitors and the Lucid ADC Inputs for re-recording the audio in Cam Studio).

Hopefully I understand your end-goal - This should be easy with any modern DAW software and a Toslink Cable