Well, according to NFHS 9-4 a player shall not intentionally kick the ball.
According to NFHS 4-29, kicking is intentionally striking the ball with any part of the leg or foot.
If a player attempts to control the ball with his/her leg or foot that would seem to be an intentional act, so...
Travel = no. Kicked ball = yes. That pretty much renders the time out & control portions of the question moot.