This thing, rolling without adding stats...
Do you want to keep these moves really mean, or you just moving away from the established stats? 'Cause you could definitely experiment with adding other modifiers. In our Nobilis hack, one of the playbooks has access to a hold a party-move, where you roll+numbers of days passed since you sent out invitations (max 3)
If you're inclined, you could, say, ask the player to roll and add +1 for each of these conditions:
+1 if you knew the guy
+1 if you're not in a hurry
+1 if you've been in the area before