Having drilled concrete and rock several times I personally would be looking into a rock drill, and a BIG air compressor. I used to drive a line truck with an air compressor and a 70 pound air hammer. It would do the job, in time. When drilling granite a 90 pounder would have been a lot easier to drill. Lugging from hole to hole well..........
I believe trying granite with a core and electric tool is next to worthless. I also believe that 6 inches for a fence post is not near deep enough. An air hammer with 2 inch bit will remove the material as you drill. With an electric hammer you WILL have to chip out the core at least 3 times before you get to 6 inches. Ever inch you go into the granite will be harder and harder to remove the cores. If you buy a 2 inch drill you will run the risk of having it get stuck. (done that before)
I would not try what you describe with an electric tool. I own a TE-52 and TE-22 the 52 can core up to a 3 inch hole in concrete, which is a lot softer than granite.