Use Moq to mock Constructor?

I have such a set of Constructors:

public BusinessObjectContext()
         : this(CloudStorageAccount.FromConfigurationSetting("DataConnectionString").TableEndpoint.ToString(),
                CloudStorageAccount.FromConfigurationSetting("DataConnectionString").Credentials) {}

public BusinessObjectContext(string dataConnectionString)
         : this(CloudStorageAccount.Parse(dataConnectionString).TableEndpoint.ToString(),
                CloudStorageAccount.Parse(dataConnectionString).Credentials) { }

public BusinessObjectContext(String baseAddress, StorageCredentials credentials) 
         : base(baseAddress, credentials) { } 

However when testing / Mocking I need the object without any of the connection string parameters. How can I do this - preferrably in Moq?

Is this possible at all?