Ever wonder what master cigar rollers smoke? For years, the top six cigar makers at the Dominican Republic’s Tabacalera de Garcia factory—where the Montecristo cigar is made—are said to have enjoyed a private tobacco blend. Now that blend will be released as a limited-edition cigar.

Called, appropriately enough, the Montecristo Grupo de Maestros Private Batch, it consists of an Ecuador Sumatra wrapper from the 2010 Oliva Los Rios crop, a 2010 Dominican Olor binder from Villa Gonzales, and a Nicaraguan fille…