Key Largo, Red Rapparee, Bombay Court, Tashkent are all solid blends that have inoffensive amounts of lat to this latophobe.
Cosmic see this
GL Pease on Lat in Fillmore taken from http://glpease.com/BriarAndLeaf/?p=40
"The inclusion of a pinch of Latakia in Laurel Heights, which a few have complained about, but many more have complimented as some sort of masterstroke of ingenuity, really wasn’t my invention, however much I’d love to take full credit for it. This was actually a not uncommon practice amongst some of England’s best tobacco houses in the past, and I stole it. The admission of this little plagiarism makes me no less proud of the final result. I employed similar thievery when I concocted Fillmore. (Yes, Virginia, there is a little of the smoky stuff in that one, too. Some, those very sensitive to its presence, will easily notice it; others would only notice its absence.) Seasoning is a good thing."