Strategy I used from ptr and all 10 weeks on live servers before I got all my pets. - Voodoo figurine - Wild magic, Rot (new undead ability, turn target to undead), swap on 2d pet - Prairie dog -Comeback*3 or Comeback*2+Chomp, swap on voodoo -Voodoo figurine - Wild magic, Rot, - voodoo dies. if no, shadow slash - voodoo dies, if no swap on 3d pet - Yellow-Bellied marmot - Chomp or Comeback (your design about risk to miss and Chi-chi hp left) GG
^ ChiChi can be Howl Bombed easily as stated, and has a cheap backup in the slower snail method from previous discussion before.
All of them can actually be cheesed though. The dragon can be solo'ed by Mr. Bigglesworth and the Bull and Tiger can be tore down by a variety of multi-hit combos. Call Lightning -> Swap to Pet that has multi-turn damage such as Lil Bling's Inflation or a Zandalari's Hunting Party - Win.