If we were to do 32, I'd be inclined to go 4 conferences; Canada by itself, USA by itself, Europe, and Asia/Oceania.
8 Canadian and 8 American should be easy, and we're only 2 away from 8 Europe (Germany would be one, then maybe London if we're going recognizable or Bratislava or so if we're going more hockey related).
8 Asia/Oceania would be more of a task. Australia could have one, as could New Zealand, Japan, China, South Korea. Maybe an eastern Russian team. Maybe Singapore, or Dubai, or Kazakhstan.