Icelandair is offering business class between the US and Reykjavik from $740 roundtrip. I frequently see US East Coast – Iceland for around $1800 round trip. This is a much better fare, and deep discounts are available even from farther West where prices are generally higher. And the great thing is this deal is even available during summer, which is a great time to visit Iceland!
You can fly from Boston ($740), Washington ($790), Montreal ($740), Chicago ($740), Orlando ($860), Tamps ($860), Vancouver ($820), Denver ($840), and Seattle ($860).