Add COGO Report click-measure functionality to ArcGIS Pro. The desired functionality exists in ArcMap: http://desktop.arcgis.com/en/arcmap/latest/manage-data/creating-new-features/reporting-cogo-descriptions.htm
Such an enhancement would allow ArcGIS Pro users to access COGO functionality without having to use ArcMap.
I have updated my post for a clicked based functionality
Once your line feature class is COGO enabled, try adding it to your map. You should be able to see your COGO dimensions as labels.
You can easily modify the label expression setting area to show the information you need and/or turn on/off the label class that shows direction and bearing and the label class that shows only distances (on the contents pane label tab).
If you are using the ArcMap COGO schema, we have a tool that will migrate your old strings to the new numeric format and a geoprocessing tool to enable COGO.
We do plan borrow geometry and COGO values simply by tracing COGO enabled lines in the future.
Another nice feature you might find useful is that the labels change appearance if you have partial COGO (e.g. on distance) or an error. We will cover this and more in the land records meetup: http://www.meetup.com/Esri-Land-Records-Meet-Up/
Have you looked at Create a traverse—ArcGIS Pro | ArcGIS Desktop