I consider the same choice, i agree to spend your next honeymoon week in Bali. It has a lot of beaches which you can consider to get around there. You are searching for relaxing place it depends on where you will stay. I think you must spend your quality time together and of course should be private one without ignoring your main constraint "relaxation" then i think private villa is not bad enough to seek, i recommend you to check this http://www.balihoneymoonvillas.com/ regarding to the choice of accommodation and place to visit