I say random. You can draw this time since you're running the draft.
I have a question though, does this draft include only players who played in the NHL or are guys who competed in international competition fair game too? I only ask because there were some greats who played for the Soviet Red Army team who never played in the NHL (Tretiak, Kharlamov, etc.) and I'd like to establish whether they're eligible or not before the draft gets started.