I have the Klutz glove and, I'm sorry to say, I don't use it very often. I know I should, but I have small hands and it seems clumsy to me. After reading about yet another rotary cutting accident, I'm going to get it out and use it. I can live with clumsy as long as I have all my fingers.
You mentioned keeping your hand lower than your heart. I think you are supposed to elevate the injured hand above your heart. When you hold it lower than your heart, all the blood rushes to that part and it throbs. Try elevating your hand and keeping ice on it for 20 minutes and then 20 minutes without ice. Feel better soon.