I believe your genes jumped the track back at William Bean 1727, who emigrated on the Admiral Hawke to Charleston SC from Ireland. He was born 1727, probably near Croy, Inverness according to a conversation of my father with Bernie Bean while living. Bernie had it in notes he was unable to locate from a conversation with family members (he travelled widely in the US). Certainly there was a William Bean in Croy at that time - his father may also have been William (records I have seen at Inverness). My father believes he left Scotland for Ulster before Culloden Field, but don't know the source of that information. I believe he found evidence of Bean in Ulster, but Irish records were mostly lost in fires.
There were several SC Beans fighting in the War of Independence, indicating that there were several branches of the family in NC and SC at that time. I believe that these get mixed up in records. William 1727 enlisted in the Third Regiment on 10 April 1779 under Capt. Felix Warley and was discharged on 1 July, 1781. His son William served in Pickens' brigade before and after the fall of Charlestown. It seems likely that at least the father was at the Battle of Cowpens as the Third Regiment was there; but there is no more evidence than that. Whether the family participated in the battle at Musgrove Mill no one knows, but it was not too far from their cabin.