I hate to say it, but the Dremel may not be practical here. Don't get me wrong, I am a big time Dremel Fan!
I would start with a 2" square block. Sand each side down, a little at a time, rotating the block one way, sanding the piece of wood at the same angle, so that all of the sides are uniform.
When you are finished, you should be pretty close to your desired dimensions.
If you live to love, then you'll love to live!