For non-Cuban,
John Hay Statesman series are the only ones currently in production which I can think of that I would smoke.
They are US grown tobacco; no chemicals, homogenized tobacco or scraps. Not really all that complex, but a good full bodied cigar for the coin. If you like the CAO America, they are very compatible in flavors. Famous used to have them for $80 for a box of 50, I haven't checked recently on their prices.
From their website:
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The Statesman Series...
These John Hay Cigars are still being rolled—one at a time—on century old, hand-fed machines. This cigar is made with all natural tobacco, using a Lancaster County, Pennsylvania Broadleaf wrapper, Pennsylvania binder and a medium-filler blend from Connecticut, Maryland and Pennsylvania—no homogenized products, short fillers or scraps are ever used. This all-American cigar is offered in boxes of 50 and 5 pack sampler boxes as well as humidors.
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Ages ago, Dunhill produced some machine made dry cured cigar called "Grand Coronas", 5 cigars to a cardboard box. About 5-6 years ago, Cbid blew out the remainder of the stock for dirt cheap - like $15-19 for five 5 packs. I remember them as being quite tasty, but mild and not very complex.