That would be awesome to accomplish. But alas.. I'm in Washington state and we have a foot of snow on the ground, my compost pile is as cold as it gets! Maybe something to work towards!
I think this could still work with a little planning ahead! I'm thinking shelter the compost pile somewhat/somehow to keep the heat from all that metabolic activity in and the snow and cold air/wind out. I really like the idea of using that heat!