Cigars were probably imported prior to the 1760's. Here is a link on cigar and
Tobacco History prior to 1761, and it continues from
1760-1860. It appears that the first cigars appear in the British Colonies of America in the first half of the 18th century, but would've been smuggled from Spanish sources. The British capture of Hispaniola yielded a large amount of tobacco and probably cigars. Israel Putnam reportedly arrives in The Colonies with seed for growing cigar tobacco and 30,000 cigars in 1762. By 1770 cigar use is much more common.
It appears that the "cheroot" style of cigar (what you mentioned you see Mr. Eastwood often smoke and also the "Backwoods" brand style) was probably common and by 1770 "paste" cigars (cigar tobacco wrapped in paper) would've been very popular, and
made at home. (Something like a thin, Swisher Sweet I'd imagine.)
Pipe smoking and snuff were far more popular in Britain as tobacco was expensive, and it was more economical to smoke it or to take a "pinch" of snuff. The reason I suggest that "cigars" of the 18th century were probably thin is due to the cost of the tobacco used in each cigar at that time. Note the size of the cigars in the illustration at the top of the page in the second link.
(Chewing tobacco was also known and used, probably due to some of the poor quality stuff coming out of the colonies to England.)
One should also note that a large amount of tobacco was shipped from the British Colonies in America to the Netherlands, as the Dutch paid better, and the Dutch have been known to be very good cigar makers for a very long time.... perhaps the importation of cigars came out of the Netherlands, and not the Spanish Empire.
LD