You might try getting in touch with Bandon Historical society museum http://bandonhistoricalmuseum.org/. They might be able to put you in touch with local genealogy experts or indeed some Murphys that might be interested!
Also, I can see that the Historic Graves website has uploaded surveys of two graveyards in Bandon. https://historicgraves.com/graveyards-map. Perhaps a search of these graveyards for Murphys may help you triangulate ancestors in your search.