Just going over this in my head, works just as well with even more dogs...
35ss
Nicodem w/ 8ss cache
Avatar +2
Rafkin +7
5 canine remains +10
11ss to taste
Turn 1
-Rafkin tags 4 dogs with a blast from Flask of Formaldehyde
-Rafkin uses Preserve Bodies
-Canines activate one at a time, each dying of poison.
-Final canine (not hit with the flask) retrieves the corpse counters and uses For You Master, discarding the 4 corpse counters. Rafkin gains 4 body part counters and Nicodem gains 4 corpse counters.
-Nicodem casts Arise, sacrificing 4 corpse counters to summon 4 zombies. Rafkin gains 4 body part counters.
Turn 2, 3, etc
-Nicodem avatars and begins churning out the punk zombies
-Rafkin supports with Hard to Kill for the MZs and healing flips, perhaps even summoning more mindless zombies himself (he can summon as many as he likes for 2 bodyparts each with one cast).