I owned LR before CC but I have CC. My version of LR was never associated with my CC subscription and still shows as "download" LR5 in my CC box. How can I have CC get me LR6? Do I have to download LR5 through CC for the system to recognize me as a LR subscriber? That seems wrong.
You should just be able to download using the direct links instead (they don't use Adobe's download manager, which can be confusing):
Then that free trial will convert to either Lightroom CC or Lightroom 6, depending on what you have or what you purchase.