Removing previous tracks

I would like to create a new track in BC. This new track will start and end at the same place as a previous track that I have created. So, when I call up the map showing the previous track, I would like the map to be blank. However, the map shows the previous track. When I cut that track so that I start with a clean slate, it also cuts the track from the saved version.

Is there a way that I can start on a blank map even when the area of the map that I am interested in has been used before for other tracks? I'm sure there must be a way, but I have tried to open a track, duplicate it, then open the duplicate and cut the track from the map. However, when I cut the track from the duplicate, it cuts it from the original also.