The CR-1A provides IQ outputs and CAT control via USB. Theoretically what you want to do is possible but I do not see any software supporting it yet.
If you go to their download pagehttps://www.dropbox.com/sh/u1d6hd2noubiez5/wN5i5gwQAF
you will see that they have some kind of proof of concept program which seems only to display the spectrum.
The maximum bandwidth via USB is 200kHz.
73 de Jean-Claude PJ2BVU