You can earn DL miles if you fly on Emirates Airlines to the Middle East. I think they're the best airline in that part of the world. Another option would be flying Air France via Paris. I'm not a fan of Air France, but you can also accrue DL miles with them. The third, and final option for accruing DL miles, would be to fly El Al. It'd involve a connection in Tel Aviv, but if you're looking for an airline where you don't have to worry about security problems it's El Al. I found them to be alright, but I wouldn't fly them again only because of the security hassles.