I totally did it. I wanted the sensation of chewing more than anything. I was so sick of liquids. I don't know if this is true for anyone else but during the liquid month I had to brush my teeth all the time ( like 4x or 5x daily). My teeth always felt grimy and slimy. It grossed me out so bad.
Your buoyancy probably has nothing to do with your weight, but with the natural salt content in your body. Some of us are just floaters. Don't feel to bad if you never sink.