I agree with you completely when it comes to drinking tea while smoking. I found the pipe overwhelms the delicate flavor of the Lapsang. However, I like smoked tea for the same reasons I enjoy the flavor of Latakia, and find the smoked teas very satisfying when enjoyed apart from tobacco.I prefer the tea not taste like smoke because, you know, I'm getting that from the pipe.
I've been finding the entire process surrounding tea to be very reminiscent of the ritual of pipe smoking, and the smoked tea supports the effect, as I load the dry leaves into the infuser, fill and heat the kettle, and slowly sip from the cup. It "scratches the same itch", so to speak.