What's The Correct Call ???

[BillyMac]

A1 dribbles, comes to a stop, and intentionally, and deliberately, ends his dribble. He then proceeds to fumble the ball, which drops to the floor. A1 tries to pick up the fumbled ball, but in his haste he ends up just pushing it and the ball rolls across the floor for a distance of about a foot. Now A1 realizes that two defenders are close enough to him to attempt to pick up the fumbled ball off the floor, so he, in my opinion, intentionally, and deliberately pushes the ball to roll it a few feet away from one defender, and then, again in my opinion, intentionally, and deliberately, pushes the ball again to roll it a few feet away from the second defender. At this point, before he picks it up, I figure that the statute of limitations has run out on the "can always pick up a fumble rule", so I blow my whistle, and call a travel. Later, during a timeout, I discuss this with my partner and she believes that this should have been an illegal dribble.

I know that this play has got to be illegal, just not sure why? Help.