Also had to do some improv and used a HP Mudback Calf (1,2,2) and a PB Temple Snake (1,2,1). Use Stoneskin - Headbutt - Bite 'til Eighty Eight is dead. Use bite til your calf is dead, swap in snake, use Burrow and Counterstrike on CD otherwise Bite. I was able to finish off the first two pets so the Familiar could tackle the third.
I didn't have any of the other pets, and only one of these. Ended up using Feline Familiar as per your strat to finish. But otherwise, Zandalari Anklerender 2,1,2 (make sure you Leap before Hunting Party so you go first, managed to kill him on first wave) who killed 1.5 pets. I randomly chose a Water Snake 1,1,1 but may be better to chose something that isn't reduced against flyers.