Hi Mike and welcome to the forums!
Unfortunately, I have never tried the Logiech Brio USB myself, so I cannot say for sure whether it is compatible, but it's really rare to find webcams that aren't. Also, just to confirm, are you using the VideoCaptureDevice node or the CameraCapture node? It's strange that you don't see the drop down menu. One possibility is that you didn't install the "Bonsai - Video Design" package which contains the dropdown editor for cameras.
In any case, if you are using VideoCaptureDevice, I would try it one last time with CameraCapture, or the other way around. Although they both can access most cameras, they use slightly different APIs, and sometimes this surprisingly makes a difference.
Let us know in any case. Did you try all Point Grey models? Usually we have success with the Flea or Grasshopper models. More recently we have added support for the more recent Blackfly models, but you have to install the Bonsai Spinnaker package.