While Gillette's poll is for players league-wide, let's keep our focus on the Cleveland Browns. First, let's analyze what "against the odds" means in this case. On one hand, it could mean a highly-touted prospect who ended up grasping the offense faster than expected, like wide receiver Josh Gordon. On the other hand, it could mean a player who litereally came out of no where -- like linebacker Craig Robertson and safety Tashaun Gipson -- but filled in admirably on the defensive side of the ball most of the season.
In the end, I think I'll actually throw my vote behind right tackle Mitchell Schwartz. He was not the most prominent right tackle prospect in the draft, but there isn't another rookie offensive tackle who did better in my opinion. There was some deserved criticism of Schwartz in the preseason, but he matured quickly and ended up handling a ton of elite pass rushers fairly well throughout the season. Anyone who thinks Schwartz was terrible needs to remember how god-awful the tandem of Tony Pashos and Oniel Cousins were last year.