Miami Suites Irish Cream cigars From the same factory as Backwoods comes a great line of flavored cigars with an all-natural tobacco wrapper and three distinct flavors. Introduced in 1998, this Miami Suites Irish Cream cigars has a mild taste thanks to its Java wrapper. It has a homogenized binder and highly flavored short filler. Like their counterparts, Miami Suites Irish Cream cigars fly off the shelves and are always hard to keep in stock.