There are grocery stores in the area, but I am not sure if they are open 24-hours. There are three Publix grocery stores, all located within a ten minute drive. The closest Publix is located near Old Town. As you exit Parkway Boulevard, make a left onto 192. Continue for less then 1 mile. On your left hand side, you will see a devlopment called Xentury City - make a left into this street, and Publix will be immediately on your left.
If the Publix is not open 24-hours, there is a Wal-Mart supercenter with grocery store that is. It is a little further however. As you exit Parkway Boulevard, make a left onto 192. Continue for 4-5 miles. The Wal-Mart will be on your right, just after Medieveal Times.
Your hotel may also have a grocery purchasing service, where you leave them a list and the buy it for you - I know Residence Inn by Marriott does this.
Have fun!