I am torn on this. On the one hand, he is a 23 year old who is scoring 14+ points a game, showing steady improvement offensively and flashes of brilliance, and has proven to be an All-Defensive team player. On the other side, he is a tweener who is at his best when he can cross-match, and he has a pretty long injury history.
I actually think his market value could be close to 7-8 million per year, based on the fact that he could very well take another leap next year if he continues to improve his shooting and offensive feel, and if he does that it would make him a bargain. The problem is he is a restricted free agent, which will probably really limit the market for him. Teams are going to shy away from him, because they know the C's will match anything reasonable. They might have to pay him $10 million a year to be sure the C's wouldn't match, and at that point it would be too much.
My guess is that Danny will try to offer him 6 or 7 million a year again, and Avery will want a shorter term contract, so if he does continue to improve, he can get really paid sooner. I also wouldn't be shocked if he signs the qualifying offer. He is kind of in that weird no-mans land, where he still hasn't proven enough both on the floor and healthwise to show he can be counted on as the consistent impact player he has shown flashes of, but he has enough potential that another year might be what it takes to put him over the top, and get him from that "just above MLE" pay range into the secondary star pay range.