Tibbers should be a skill shot not a pop up, and why.
Annie is by far a strong mage and we are ok with that it's how she's always been and Im saying to change it, my suggestion is:
Make Annie's ult Tibbers a skill shot like Fizz's ult.
Have Annie throw the small bear in a line and when it gets to its destination it will do what it's always done, burst into flame and transform.
this is no way a change to the damages just how the ultimate is preformed
Not only would this stop the op blink pop up burst/ stun combo that we all have a love hate reaction ship with but it would open some cool more strategic mechanics, say; throwing Tibbers past the enemy to box them in.

sapling then Fizzes fish honestly. But just let Tibbers blow when he hits the ground. So she couLd still just flash Tibers at supper close range.