Hey there! Hedgehog noses are naturally moist just like a dog’s would be. As long as it’s not noticeably dripping or leaving large drops that run on the plastic, you shouldn’t have to worry about that.
Hedgehogs do better with a heat lamp set up directly on their enclosure to better regulate their temperature. Sometimes the house thermostat might say a room is at a certain temp but it could fluxtuate, and he might have just gotten a bit cold last night which moved him to save up some energy. If possible, maybe just bump the thermostat up another degree or two. And I would highly consider a ceramic heat emitting light bulb in a dome lamp that sits on top of his enclosure!
Hope this helps 🙂