The Conway National Bank, Murrells Inlet Branch Basic Info Reviews Routing Numbers Map & Direction Name: The Conway National Bank, Murrells Inlet Branch Main Office: No Service: Full Service Brick and Mortar Office Location: 4345 Highway 17 Bypass Murrells Inlet, South Carolina 29576 Georgetown County View other branches Phone: 843-651-8135 Please enable JavaScript to view the comments powered by Disqus. Routing NumberProcess ACH TransferProcess Wire Transfer053202318YY053208244YN From: To: