While its a bit old, I felt I needed to weigh in on this topic. I'm a big pipe smoker and LOVE virginia blends. My favorites are from McClelland, GL Pease, and Samuel Gawith. I do agree that the sweetness of the VA tobacco goes very well with the sweetness of the rum. Perhaps one of my favorite pairings is Orlik Golden Sliced and Ron Zacapa XO.
For any of you that dabble in pipe smoking, I highly recommend trying VA blends. If you can't find any decent blends close to you, feel free to IM me and I'll get a little sampler your way.