Tips for humidity: Put a LARGE water bowl on the hot side of the enclosure. Water will evaporate and create humidity. Cover the screen top, you already have side ventilation, all the heat and humidity will leave out the top if it's open. Spray the enclosure occassionally. You should be golden after that.
Same goes for heat! See, I don't know the exact size because it depends on a lot of variables! You might have to try some different things and take back what doesn't work. Honestly a big uth that is underneath tile would be great, and with a good thermostat you can change the temps if it gets too hot!
Edit: With a cage your size the CHE might help at night. No bulb, they need a day/night cycle.
You don't need a moss hide, but some people just put the moss in one of their hides during shed, or even moist paper towels.