Icelandair can be an option if you're considering a trip to one of their European destinations because they'll allow a stopover in Reykjavik without increasing the fare. You could combine Iceland with another city to make your dollars go further.
Business class on Icelandair, though, isn't much to write home about. No fully flat beds; instead, the seats look similar to BA's World Traveller Plus seats. The flight's only six hours to Reykjavik so not the worst flight you could take, but if you're paying yourself, economy class or their economy comfort, with 2x2 seating rather than economy's 3x3, is probably a better value.