SQLBulkCopy con inserción de identidad en la tabla de destino

Finalmente conseguí que esto funcionara de esta manera

    using (var bulkCopy = new SqlBulkCopy(ConfigurationManager.ConnectionStrings["ConnectionString"].ConnectionString, SqlBulkCopyOptions.KeepNulls & SqlBulkCopyOptions.KeepIdentity))
                {
                    bulkCopy.BatchSize = (int)DetailLines;
                    bulkCopy.DestinationTableName = "dbo.myTable";
                    bulkCopy.ColumnMappings.Clear();
                    bulkCopy.ColumnMappings.Add("SourceColumnName", "DestinationColumnName");
                    bulkCopy.ColumnMappings.Add("SourceColumnName", "DestinationColumnName");
                    bulkCopy.ColumnMappings.Add("SourceColumnName", "DestinationColumnName");
                    bulkCopy.ColumnMappings.Add("SourceColumnName", "DestinationColumnName");
                    .
                    .
                    .
                    .
                    bulkCopy.ColumnMappings.Add("SourceColumnName", "DestinationColumnName");

                    bulkCopy.WriteToServer(datatable);
                }