Yep, that one oddball exception to the rule, described in the case play, is the only time I know of that a player can travel without "holding the ball." It is only traveling because they said so.

I would consider setting the ball on the floor ("pushes the ball to the floor") while standing, moving the feet, then picking the ball back up to be a dribble as soon as the player picks up the ball again. However, if the player lifted his pivot foot before he placed the ball on the floor, he has traveled.

I thought maybe I had missed something.

BITS,
Hopefully you can help me out with this -

I have used the following as a rule of thumb -
There is only one way to travel without the ball: A1 having secured the ball while laying or setting on the floor (not standing), then releases the ball, stands up, then picks up the ball, all this with no other players touching the ball.

But A.R. 200 Includes another possibility in sitch 1.
Is FED and NCAA in agreement?

If you toss the ball up into the air and run and catch it without it hitting the floor, you have also traveled. (is that what AR200 says?)

A.R. 200 paraphrased -
A1, after
1) receiving a pass
2) ending his/her dribble
jumps to attempt a try and voluntarily throws the ball to the playing court and is the first to touch the ball.
Ruling
1) traveling violation as A1 lifted their pivot foot before beginning a dribble.
2) double dribble as A1's throwing of the ball constituted the start of a dribble.

I guess my rule of thumb holds true as the pivot foot movement occured with A1 in possession of the ball.

Doesn't fit the question then since A1 was holding the ball at the time of the travel (lifting the pivot foot before releasing the dribble).