Dare I say .... BUNT. OK, that's an extreme. But not hitting for power in this situation is my point. Since the shift is on, I'm suggesting simply tapping the ball towards (in Ortiz's case) e.g. 3rd base.
To simplify, since the defense is blatant, so the hitter should be too. I bet just a few of these at bats will put the infield back where it belongs, especially if Manny takes advantage of the extra men on base and adds to his RBI total.
That said, assuming that by some magic Ortiz could always execute, the reason for the thread is to see if people here even think just taking one base in this situation is the right thing to do in general, but specifically in Ortiz's case.