Naming my daughter after my grandfather (read intro)

My grandfather was my rock, my inspiration, and my world. He unfortunately passed away in Sept. of 2015. I chose these 3 names after him. Carina means "beloved", which has the same meaning as my grandpa's name, David. I don't like Davina or Davida, so please don't suggest those. Melody would be after his love of singing. Some of my earliest memories are of his voice singing country and gospel songs. Millie is after his last name, Miller. Which of these names do you think honors my grandfather the best??