It is ASA and my ruling would be two bases from the time the defender last touched the ball based upon the
July 2009 Rule Clarification that a fielder who kicks a ball and it leaves play based on that impetus (as opposed to that of a batted ball deflecting off a fielder and leaving play) being handled the same as if the fielder threw the ball.
Since F5 redirected the ball to the point of causing it to leave play that is the point from which my award will be.
For those who believe the runner has any bearing on this, citations please and, BTW, 8.5.I.4, 8.7.L is not in effect, but 8.8.F is
Now, 8.5.I.2 may be in contention, but you would have to ignore the aforementioned rules classification. I don't believe being a batted ball had anything to do with the ball entering DBT.