Via Miles to Memories, you can fly from a number of US cities like Denver, Boston, New York, Minneapolis, Chicago, Portland, and others, to Reykjavik, Iceland, for ~$300+ round-trip in coach.
And even better, the price includes a free checked bag!
For example, I found a flight between Boston and Reykjavik leaving August 24, 2017, and returning August 30, 2017, for ~$312.
These sale fares are good for Icelandair flights from August 2017 through December 2017, including holidays like Thanksgiving!
Here are the details. And how to search for deals from your city!