Hello AGutcher,
Welcome to InfoPathDev! For your dropdown list box, are you using an external list? The easiest way to accomplish the above would be to use a SharePoint list. In the list you would have 2 columns: Department and Manager Email. For information about how to use a cascading dropdown, look at this post for more information.
Then use the Filed (Manager Email) in your email data connection to send to the correct manager.
Bre Huston
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