First of all do not try to hide your stutter. I know it's easier said than done but trust me. Second, try to do some practice. I did something like that. First i used to read with real loud music in my headphones. I did read very good with loud music. Then i slowly removed the headphones and did tha "Tap reading". It's like you slow your speech rate. Tap reading is you tap your pen whenever you read one word. So first try that. When you are good at that then remove the pen and try to tap your hand to your thigh whenever u read one word. Hopefully you would get better.