Creatureless decks, momentum, reverse time, mutation... All of the above will pose problems. Not much you can do about them. Playing Quintessence (can be payed for by the Supernovas) on the dolls after playing your other cards on them will stop reverse time and mutation, but also prevents you from further affecting them. Your call.
All decks have their counters; worst comes to worst, hope your last tribute to the RNG gods was sufficient enough.
Edit: You can take some CC like Thunderbolt or Rage Potion to remove problematic creatures like Chargers (Your Basilisk Blood also works there, kinda), and can also serve as a means of direct damage/buff to your dolls if the need arises.