There are humidifiers in my home (not in my BP's enclosure though) and during a handling session I once let my BP investigate the humidifier fog - he puffed a bit when the water vapour got into his nose and retreated from it quickly so I got the sense he didn't like it. I have suspicion that it could potentially eventually lead to respiratory problems if the snake was inhaling water vapour like that every day for multiple hours over the long term so I personally would recommend against it.
Instead, maybe you could tell us more about your current enclosure set up so we can give ideas on how to increase the humidity without a fogger? I'm guessing you have a glass tank with a screen top, have you tried covering most of the screen top? Albert Clark's recommendation to get the Versa-Top is a good way to help keep humidity in the tank. Adding a humid hide is another way to ensure your BP has access to higher levels of humidity when he needs it.
As for your BP's basking pose, he looks to be relaxed and it could be nothing, but the way he has his head raised up like that could be a sign that he's finding it hard to breathe - snakes with RIs will do that (not saying your BP has an RI though, RIs come with other symptoms and sometimes snakes also just rest their heads like that to relax and it doesn't mean anything).