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Randy Starks is the crown jewel of my exterior free agents because he represents a big piece that I believe the Patriots need on defense. In a perfect world, Henry Melton would be the ideal fit, but he's not getting out of Chicago. And last year they went after a similar player in Red Bryant.
So I'm going with Starks, who hasn't missed a game since arriving in Miami in 2008.
He can be moved around the defensive line but would fit best next to Vince Wilfork in the base defense, while also providing some interior pass rush in sub-packages. Starks would be an upgrade on Kyle Love and Brandon Deaderick, and at 29 he's a veteran but still in his prime.
Most of all, someone like Starks would provide Wilfork insurance and make the Patriots slightly less over-reliant on Big Vince.
CONTRACT: four years, $12 million
Update: Randy Starks has been Franchise Tagged by the Dolphins, so unfortunately this takes him off the board for the Patriots. Still, the need remains, and the Patriots will look to other defensive tackles, and perhaps spread out this sizable salary to a couple of mid-range free agents. Alan Branch, Mike Devito, and Desmond Bryant could all be potential fits and at a lesser price than Starks would've cost.