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Doan is arguably the top player who is still unsigned at the moment. I say arguably because he is 35 years old and on the proverbial "Back Nine" of his career.
That doesn't mean he is not still a great player. Last season he registered 50 points on 22 goals and 28 assists. While certainly not earth-shattering numbers, his presence was more felt in the locker room as he served as the unquestioned leader for a Coyote team that marched all the way to the Western Conference Finals.
Doan has spent his entire career to this point with the Winnipeg Jets/Phoenix Coyotes. I think the reason he has been a free agent for 11 days is because both sides feel differently about what Doan's role should be on the team and how much he should be paid to perform in that role.
Prediction: Chicago Blackhawks
I think that Doan would fit in perfectly with the Blackhawks. His age means that the price tag wouldn't be too severe and he would bring a tremendous mix of talent, leadership and experience to a team that is trying to build around its young core.
More specifically, I think the Hawks want to bring him in because he is a veteran winger who has played his entire career without completely embarrassing the team he plays for and almost being traded despite his immense talent. If you couldn't tell, I'm referring to Patrick Kane.
Doan's leadership and experience could help Kane find some semblance of maturity and possibly take his game to the next level.