Welcome to the site!
Some pictures would help, can you upload some to photobucket, then post them here using the "IMG" code?
Do you have any thing controlling your UTH? What are you using to measure temperatures in your cage? What type of substrate do you use? (Just want to make sure this doesn't happen again/make things worse)
Neosporin can do just as much harm as good. I would suggest that you stop applying it.
Most BP's aren't huge fans of being soaked and there isn't much you can do about it. I've found that the biggest factor is water temperature. too hot or too cold will make the BP freak out. You want a water temperature in the mid 80's F. If it feels warm/hot to you it is too hot for the snake. Apart from that I would suggest that you soak the snake in a container with high walls like a bath tub or large storage container.