Put him in a closed lid tub for about 20-30 minutes with luke-warm water. This will help rehydrate him and get his bad shed off.
HOW big is this cage? Bigger is not better, it usually means terrible humidity.
What are the exact temperatures of the warm and cool side as well as the %humidity.
What kinds of hides are you using?
Get rid of carpet substrate, it doesn't hold humidity very well and get's really nasty bacteria wise.
The UTH you are using should not have a towel, it should have a thermostat hooked up to it to regulate the heat. Using a towel could very easily cause a fire. Lights are not recommended, so that's fine.
They don't need 'soaking tubs'. They usually won't soak on their own, you have to keep the humidity up.
Don't handle him for 48 hours after eating (I'm saying this because you said every day). How often are you feeding him and what are you feeding him?
3 sheds in a year does not sound like a proper growth term.. at all.