C.C.
I did breastfeed, but also experienced the painful, hard spots that you describe. What helped was standing in a hot shower and massaging the hard spots, and hand-expressing a little milk just until the spot wasn't hard anymore. It's probably a clogged milk duct, which is really painful.
I think you may want to avoid pumping, because that will only cause you to produce more milk. (Actually 2 oz is no small amount for someone whose milk just came in!) A friend of mine who did not breastfeed used an ace bandage and wrapped it all the way around her chest to compress her breasts. She said that helped with the engorgement. It went away in a few days. Maybe try an anti-inflammatory to help with the pain?