In the jar of a blender, add the honeydew melon, organic cane sugar and water. Blend until very smooth, about 1 minute. Place a sieve over a bowl. Pour the honeydew puree into the sieve and discard the pulp. Note: Now, I found that the mixture was still a little thick so I decided to strain it one more time. If you have a cheesecloth, you'll only need to strain it once (I didn't have one).