Running with Flat Feet

I'm totally an overpronator. I'm told that means I have flat feet. Which I do. My feet are insanely flat. 

Since I live in Boulder, I have many friends that run. I would like to join them, but running bums my feet out a bunch. They hurt, yo. A couple years ago, I went to the Boulder Running Company and picked out a pair of Nike Zoom Nucleus MC+ shoes after having my stride recorded and analyzed:

I confess they haven't gotten as much use as I'd initially intended. Lately, I've wanted to run more because the weather's nice again and the birds are chirping obcenities at me from the trees. I wish the shoes I'd picked were a bit lighter. They feel bulky. Thoughts or recommendations?