I said that I have no "mechanical' advice earlier but I do have one thought to add, and I would ask some of you more experienced players to shout me down aggressively if I am wrong here. Or mildly correct me, it doesn't have to be a beat-down. [br][br]
When you play through the strings, the pick can be turned very slightly so that the flat part of the pick is not striking the strings squarely. Strike the strings with the edge of the pick rather than perfectly flat on. The pick glides through more smoothly that way. Experiment with the angle a little bit. So both amount of pick and angle of pick.
It takes as long as it takes unless you quit - then it takes forever and you will never get there.