You could try a lighter latakia blend, like Early Morning Pipe, which has the dark leaf but not in any large quantity. It's not even noticeable to some smokers, according to reviews. Even if you don't notice it, I believe what you're left with is an Oriental blend sans latakia, which will be more acceptable to company and offer more of a "straight tobacco" taste than any aromatic. I personally like Ashton Consumate Gentleman, which has less-than-average latakia and some other prominent flavors/aromas that can partially mask it.