Domenico Cigars and Don Lucas Cigars...they are not that expensive (probably around $7 a stick believe). A little bit farther of Punta Cana is La Romana, place where Tabacalera de Garcia is...that's where they make La Gloria Cubana, Seijas Signature, and some other cigars by Altladis.
BTW, yeah, big factories can't sell you their cigars because of the law here but small factories like Domenico and Don Lucas can. Even if you go to some big factories they can give you some gifts for you to try 'em...