As far as I know, there were no newspapers published in Beaufort that early. The listing of papers in Beaufort at historicnewspapers.sc.edu doesnt go back that far, but that doesn’t mean there wasn’t one.
However, there might be an obit in, say, a Charleston newspaper as they often provided news in a wider area. Contacting the Post & Courier might be a good bet to see what paper was being published at that time in Charleston. And I’m sure there is a repository of old papers on microfilm (if they haven’t been digitized yet) in Columbia, but I’m not sure where to look there. As I recall, there is a repository of genealogical material for all of SC called The Columbiana Library or some such name.
Wish I could help more. There is still a Seabrook area in Beaufort County, just north of the Marine Corps Air Station, Beaufort, right before one gets to the Whale Branch River. I knew quite a few descendants of slaves who took the name Seabrook while I was living there working for the government (or “the gummit” as folks called it).