I saw reports on line that they have 'no overnight parking' signs posted, but the report was 3 years old. Conway also has Cracker Barrel, Home Depot, and numerous truck stops, so you can layover at one or another place. Some towns have ordinances against overnight parking, don't know if that's the case with Conway.
Bob & Donna
'98 Gulf Stream Sun Voyager DP being pushed by a '00 Beetle TDI