I didn't know where else to post this and since Transatlantic flights from DFW are dominated by AA I figured this is a good place to start. I'm working on a trip from DFW that would land in Italy, Croatia, or Greece with just one stop. I would like to fly the Transatlantic leg in Business. Are there any Transatlantic Biz Class Award sweet spots somewhere along on this route?

I also have CC miles that can be transferred to almost any mileage program. Any thoughts would be appreciated.