Various good burley blends have no Latakia, and Cornell & Diehl is a leader in blending burley, so look at their offerings. Many Virginia blends don't have Latakia, but usually Perique or just a variety of Virginia leaf, and McClellands is a prime source to look at those, though there are many other good sources as well. You just have to browse around in the online tobacco pages at length and see what looks good. Probably buy samples in the smallest quantities to see what you like, and save the ones you don't like (in sealed canning jars) to see if your taste has changed. No one can sample tobacco for you, so your own research is your main information.
For starters, aromatic blends have non-tobacco flavorings (vanilla, rum, whiskey, citrus, etc. etc.), and non-aromatic don't.