My reasoning for asking this is because it sounds like high anxiety and not a "fear" of snakes from your description. I have noticed that sometimes when I am really stressed and I go to handle or work with any of my animals weather it be my dogs or reptiles I start to get anxious, sweaty palms etc, but it is generally just caused because of the fact that you have to focus on what you are doing and that added focus can pile on top of already being stressed out.