note with Anivia. Ryze's prison has significantly less range than your Flash Frost. You can pull off a very easy combo when u see a Ryze going in for the prison. (I personally bait this, as after he blows his abilities enough to kill me, he can't dps through the egg and he's dead for trying). Cast Wall in front, then flash frost to a side, usually the geodesic pathway, u can land a stun, Frost bite, THEN glacial as you run. From here you have two options.
1) you can run.
2) you can utilize the chill from the glacial to fire off another frostbite as he retreats.
All and all, Anivia has very little to fear with her egg and her ability to almost 2 shot Ryze at level 9. So, hope this adds a bit to your guide. Good to see you're putting out guides to beat pugstompers, as that is the leading cause for OP SCREAMS!