You could look at the Chase Freedom card.  It has 15 months of 0% and is a solid cashback card.  Since the Amex you have is a Zync, I assume you don't travel frequently.  If you do, you should take a look at the Sapphire Preferred.  It doesn't have a 0% offer, but even if you do have to carry a balance, the signup bonus will make up for that.  Also, all of Capitol One's products waive forex fees.