well if he is in a gyroscopic capsule that works as a hamster ball does then the external shell realistically needs to be either a cage the gyro pod can shoot the zip line through and fire jet boosters or flame throwers through it, or maybe some kind of almost honey comb of hexagonal hatches that open from the inside. considering all the kit is mounted to the internal vehicle that stays stable.
for him to function the way he does im thinking he is still in a gyroscopic pod in the middle of a big spherical yo-yo with obviously a grove instead of a split and pin so the zip launcher is mounted on an inset ring kind of like your second example but grooved into the ball so still follows the yoyo principle. essentially the magic would be in holding the tether button and it re orientates the whole wrecking ball while firing when it lines up (as apposed to just clicking it). giving the illusion that the tether is launched from within the vehicle from any axis but in fact its only one axis and the ball is really a wheel that can orientate itself left and right.