Unfortunately there isn't such a a way, dragging is required to make a new document within existing documents.
The simple problem with the fast way that you described is that there's no space to right click on... if you right click on the document, the document right click menu is triggered. If you have to somehow right click the tiny gap between documents, that's pretty hard and not very time consuming either.
One workaround that might work is to "Make a copy", and delete everything it it. That creates unwanted version history and is not guaranteed to be faster though. (You can
Ctrl+Shift+A to select everything and delete them in one go)