Depending on when you are hoping to travel, you can get a roundtrip from LAX to KEF (with a couple of connections in each direction) for just 60,000 AA miles + $125 in taxes and fees. If you cannot find decent value with your Amex points, I would consider applying for a Barclays Aviator AAdvantage credit card, which would get you 60,000 AA AAdvantage miles after one purchase of any amount, with the card's annual fee waived the first year. Details here:
https://www.applyaviator.com/