I can't speak about the fogger, although I've never heard a good report about using them in a BP's cage. But I did want to address a couple of things...
First...you may find it necessary to compromise somewhere in your setup. Either switch from glass to a plastic tub....or change substrates to something that will more easily fascilitate humidity levels, such as the shredded cocunut husks. Granted, it may seem more a pain in the neck....but isn't constantly struggling with humidity a pain in the neck as well?
Another thing you may consider is getting a second UTH to help keep a proper temp gradient and ditching the CHE.
The last thing I want to mention is that you say you have tape on the inside of the lid. This needs to come off immediately. Tape is extremely dangerous to snakes. All it takes is one itty bitty loose corner...the snake finds it with his nose when he's poking around and he works more tape off...and before you know it, you've got a snake totally wrapped up in duct-tape and maybe trapped against the roof of his own home.If I have misread what you meant and you don't have any tape on the inside of his home, then at least maybe that'll serve as a notice to someone else who may have.