According to Andrew Abramson of The Palm Beach Post, the prevailing thought around the Dolphins is that they will seek a starting left tackle via free agency, where there will be plenty of available options (Eugene Monroe, Branden Albert, Jared Veldheer, Anthony Collins or Jordan Gross). However, with the franchise tag and the teams that have money to keep their own players, that won't be as easy as you think.
As a backup plan, Miami will have to go into the combine with an eye towards acquiring a franchise left tackle that will be a cornerstone of the Dolphins for the next 10 years—but who could that be?
Some of the popular names, like Auburn's Greg Robinson and Texas A&M's Jake Matthews, are projected to go early in the first round—well before Miami's turn to pick. While I would love the idea of drafting Notre Dame's Zack Martin, he makes more sense as a guard.
Still, there are some linemen in the draft that could be taken later; however, those players will probably be better off at right tackle instead of left tackle.
Finally there's Michigan's Taylor Lewan, who likely will be available for the Dolphins with the 19th pick. Lewan contains the talent and size to be a franchise left tackle, but might need a year of seasoning while backing up a veteran before he can step in and start. There are also some maturity issues he's dealt with in the past (including an assault he was questioned for back in November, which he has denied any wrong-doing in, per USA Today's Mark Snyder), which might not be what the Dolphins would like in their locker room after the entire Incognito-Martin mess of 2013.