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Dunn, NC
It is 816 miles accordig to Googe Maps.
About 290 miles.
St. Martin MD
It is called the Nags Head.
Well, if you are looking for things to do, then Nags Head is the place! Nags Head is a great spot for restaurants, nightlife, and many other attractions.
The answer is budget dependent, but I suspect the fastest reasonable way would be a flight between Norfolk (ORF) and Toronto (YYZ) with a (rental)car ride between Norfolk and Nags Head.
About 1400 miles.
405 miles
The distance between Miami, FL, and Nags Head, NC, is 969 miles and will take approximately 14 Hours 55 Minutes of driving time.
The Nags Head
North Carolina Coast