Yes, that sounds like a good idea, Nick.
That's how the Dangerous Delivery scenario starts as well. In that scenario, one side normally starts with the major plot point and 2 minor plot points already under their control. The kicker is, the other side automatically gets credit for any plot points that are not moved off the table via the escape route.
That scenario is in the Pulp Alley rulebook and might be worth checking out for any helpful ideas.
HAVE FUN