Of the infielders, Lee is probably the most intriguing. If he continues to steal bases he'll be very valuable. I think I'd go with Vidro, however, who is both safer and gives you a backup plan at 2b should Durham wind up playing a different position.
Some of the outfielders are also nice values at this point, but I think infield has priority, especially if you do go for Godzilla. It's hard to say when the right time for picking him will be, but as soon as he signs a contract, he'll be front-page news. I think I'd risk waiting one more round, but not much more than that.
There are some nice pitchers available, too. In particular, another closer would probably look good on your roster.
In sum, I'd play it something like this:
Vidro with the next pick.
Then Mesa, if available; Matsui otherwise.
Matsui or best available closer, depending on the previous pick.
Then go for a starter.
Afterwards, try to land high-upside players like Teixeira and Contreras.
Of course, that's just a best-case scenario. Things never work out quite the way you plan them. At any rate, your team is rock solid and should contend, no matter how the draft turns out.