Okay, good. I'm glad to hear your baby is eating. Also thanks for not taking offence to anybody's suggestions and doing what it takes to get things right.
When you get the indoor/outdoor digital thermometer, you will find that it takes the temperature on the unit itself (the indoor part) and it also has a 6' wire with another sensor on it that also take the temperature (the outdoor part). I put the indoor part on the cool side in a spot that I can read the numbers, and put the other probe on the substrate inside his warm hide. You can take the extra wire and just burry it in the substrate.
When you get the digital thermometer, you will likely find that the temp on your warm end is in the 100s....if you're not using a dimmer with the UTH. If it doesn't get warmer than 92 then its fine, don't worry about it. But if you're finding it to be too warm, then the newspaper idea is still good. Also if you don't have the lizard liner fastened down so it's impossible for your snake to get under it, then it's still good to just tape some newspaper down to be safe. Eventually your snake will figure out how to "hide" under the carpet. Once he does, he will absolutely love it because it is nice and dark and snug, and he feels safe and secure because he feels he really is hiding....
.....which is the problem with using those half log hides. I know you haven't encountered any stress problems, like not eating, yet....but you will. One way to really prevent that is to offer hiding spots that are completely closed off (except for the entrance), dark, just big enough for your snake to squeeze into, making the snake feel safe and secure. Just you're doing now, you need to offer a hide on each end of the tank. A lot of new owners get those logs, because that is what they see in the pet store. It offers the snake a little bit of cover, but it still remains visible to any customers walking by. That completely goes against the purpose! Give your snake real hides. And don't expect to see him most of the day.
About the spray. I have seen it before, but never used it. I have heard one or two people say that they liked it. Most people seem to recommend not using anything on your snakes skin and that any problem can be fixed by correcting the living environment. So, I wouldn't recommend it, but I haven't really heard a good reason not too. So if you do, then just keep an eye on your snakes behavior and make sure it's not irrating it. I would give the pillowcase idea a try for a couple days though. That really is the best advice I've heard on the subject.
In order to fix your humidity problems in the future, I would suggest covering the entire screen top with duct tape, except for a hole for the light to go. Also, when you see your snake is starting its shed cycle next time, try to make a humidity hide. You can do that by just putting a damp towel under the hides...as long as you're using the right hides.
Good luck with him. And Keep reading all of the caresheets on the breeder's site.
Jeremy