Newport can be a little chilly, even in the summer. We found a nice little cafe in the Nye Beach area where we had a couple of cappuccinos. As long as you don't mind waiting for 10 minutes, it was nice and warm.
Cafe Mundo has an interesting outdoor area with granite tables inlayed with a gas fireplace. The trees growing right around everything slow the sometimes heavy wind around that area.
There was a stage for music and it had the feel like a nice Friday night place to have some good coffee.