Let me add one more suggestion.
There's a tea called Malawi Dark Fired Tea. It's not particularly famous and it isn't readily available everywhere, but there used to be some online outlets in UK selling it (I found them by accident when some online stores popped up in my search results when I was googling for Malawi Dark Fire Cured Tobaccos).
When I learned about the Malawi Dark Fired Tea I knew I must to give it a try, as I like DFC tobaccos very much. And as we know, some of the finest Dark Fire Cured tobaccos come exactly from Malawi (Nyasaland). Then why Dark Fired Teas from there not to be good?
They said the tea wasn't exactly fired or smoked, but just fermented at a higher temperature than other teas are usually fermented at. So, I ordered a pound.
What a tea it was! Well, it was not smoky and not particularly similar to DFC tobacco, having instead a rich malty and woodsy "baked" flavour. It paired perfectly with G&H Dark Birds Eye or G&H Dark Plug. Actually its flavour is quite neutral, so it pairs well with just any other tobaccos I smoke (except Latakia, which suppresses its delicate flavour, so ultra-tarry Lapsang Souchong 'Crocodile' tea from Taiwan goes here better).
So, give that tea a try if you're fond of good teas.
Generally, I very often pair my pipe with a cup of loose tea sans milk and sugar. I found that quality African loose teas, especially from Kenya (I tried also Tanzanian, Ruandan and Rhodesian, which impressed me a bit less), were always the best companions to my pipe smoke. They are much like Assam and Ceylon teas, rich and strong, but completely lacking even the slightest astringency and bitterness that may sometimes manifest in Asian teas. That specific gentle malty sweetness of African teas, what a great complement to the taste of good tobacco...