HubSpot integration - populate Assigned To variable when logging emails

When we send an email through Front and use the HubSpot integration and logging rule to log to HubSpot, the email is marked as "unassigned" on HubSpot's end and we are unable to assign it after the fact. Because these emails are unassigned, they are not appearing on our activity reports to show how many emails our team sent that week. If Front can populate either the "Assigned to" or "Created by" variables with the user's name when logging to HubSpot, that would allow our email counts to be accurately reflected in our activity reports.