Update: Just was informed that GM has advised the dealership to change out the Torque converter and the Transmission Control Module. My truck should be ready on Tuesday. In the mean time they have given me another 2014 sierra as a loaner....I am interested to see if in the time I have this truck if I notice the same vibration.
As far as tires go, I think we may be talking about two different issues here. The problem I am experiencing (as well as some others on this thread) is intermittent at speed, not a continuous vibration that occurs above a certain speed. If the later is the case, then yes I agree, the first thing I would look at is a problem with tires (or possibly the drive shaft). The problem I am having does not occur every time I am at a certain speed or operating under the same conditions (i.e. it only seems to happen under moderate power between 50 and 65, but does not occur everytime I am under moderate power between 50 and 65).
As always, I'll keep you posted of the findings/results.