You'd probably have to use a strong double action grip to hit the ball properly without accumulator#3, because you wouldn't have any time or hand travel to do the roll. 100% of the wrist cock could be attributed to accumulator #2 and you could use angled hinge or perhaps vertical hinge with no roll through the ball.
But a single action grip with accumulator #2 and without acc#3 would require an instant roll. Since we have an impact interval, it wouldnt be possible to hit the ball straight even if the instant roll was possible.