At the end of October we are flying into RDU on a red-eye from LAX. We arrive at the crack of OMG-why-am-I-not-in-bed-still. Since I will want food and coffee soon after landing, I am looking for a delicious and early place to have breakfast. Someplace that opens at least by 7, and 6:30 would be even better. I've searched the boards and gotten lots of recs, but many places don't open until later. Help? We're ending up in Chapel Hill and would rather not head in the opposite direction. Thanks so much!