Looking for a Webcam solution

We are remodeling our training room where I work and management wants to get a web cam setup where it is mounted to the ceiling and looks down at the presenter so he/she can be seen during our training webinars.

As it stands, the camera will be mounted on the ceiling near our current projector. In order to connect the camera back to our training room workstation, the cable run would have to be about 50 to 60 feet to make it thru all of the conduit and back up through our podium.

The software we use for our webinars is GoToMeeting. The workstation the camera will be hooked to is an Intel NUC5i5RYH. Currently the workstation's display is shared with a single monitor and the projector, but they planed layout is to also share it on another screen (a 75'' TV) that is being added during the remodel.

I'm not a camera guy so I don't know where to begin. Usually I would attach a decent Logitech or Microsoft Web cam for our setups but this is the first time we are having a camera this far away from the workstation.