This might be the answer here, from rule 20.4:
"20.4. It is considered a distraction, after setting up a shot, to remove a hand from the handle and then immediately shoot the ball. The ball may only be shot after both hands (and/or wrist) have been on both handles for one full second."
It seems like the shot should be legal as long as you wait one second after both hands are on rods, before shooting the ball. However I see no specifics about which handles the player must be gripping in order to make a shot. If anyone disagrees or knows otherwise, feel free to chime in.