The whole point is that the pseudodragon familiar has 50 mile mindsight, not the wizard. Hide from Animals won't work.
Well guess then Hellbreaker 1 dip it is. Too bad its not a very friendly dip. Though it nets you a sort of hide in plain sight as well. So it can be worth it if you also get darkstalker.

Too bad the level 4 feature stowaway is not very reliable, otherwise that would be perfect for following the teleporting wizard around.