When the Colorado Avalanche won the Stanley Cup this year, they did so without a player who many thought a decade ago would be a long-term franchise cornerstone. That player is Paul Stastny, who, now 36 years old, remains a free agent almost a month after the signing period opened this offseason. After falling to the second round in the 2005 NHL Draft, Stastny blew the doors off the Avalanche franchise with three out of four 70-point seasons to begin his NHL career in 2007, 2008, and 2010. While he never replicated that offensive success, largely due to a variety…