Italy or Greece – honeymoon

My fiancé and I are trying to decide between Italy or Greece for our honeymoon. We recently spent two weeks in Spain and LOVED it. We visited Barcelona and spent most of our time along Costa Brava in small beach towns. While we do want to spend some time in the cities (Athens, Rome, etc) experiencing the history. We want to spend the majority of our time relaxing, eating good food and drinking good wine and finding spots away from the tourists attractions. Would love to hear about other people’s experiences and itineraries. We are planning to go for 2 1/2 to 3 weeks.