You will need to check out with two products. Customize one with a mailing list and add to your cart.
From the cart, duplicate your product by selecting the copy icon. 
Select "Customize" on the popup.
Choose "NO" to the first question when asked if you are going to upload a mailing database. All of your customization options remain. Continue to make any revisions to the customization and add to your cart.
One of the items in your order will be delivered via USPS, and the other will be shipped via FedEX to the address you provide during check out.