I was able to find a little more on the steamer Dan.
It was run aground near Waccamaw Neck, near Charleston, South Carolina, not near Wilmington as it seemed according to my first source. This threw off my search.
The Dan must have been trying to run into Wilmington, but couldn't. Waccamaw Neck isn't too far from Wilmington and is part of the Myrtle Beach S.C., Grand Strand. The town of Pawley's Island is on it.
In 2004, a large Parrott shell was found at a construction site at Murrell's Inlet. Its origin is not known, but thought to have been fired at a Confederate fort at Murrell's Inlet. Also, on June 1, 1863, there was a skirmish between the Confederate blockade runner Rose and two Union warships. The Rose ran aground, but the Confederates managed to drive off the Union ships.
Also, another skirmish took place on January 7, 1864, at Debordieu Beach when the Confederate blockade runner Dan ran aground and was set on fire to prevent capture. Today, the beach is a private resort area.
--Old B-Runner