The snake won't appreciably affect the humidity in the cage. A water bowl will help the humidity, and your snake needs one to drink from anyway. If your tap water is safe for you to drink, it's safe for your snake to drink and it's safe to spray with. The reason misting systems call for filtered or RO water or whatever is because minerals from the water would otherwise clog up the nozzles over time.
What you have to do for humidity will be a bit of a moving target in New England over the course of the year. Ultimately a larger* enclosure with deeper substrate will help keep conditions a little more stable (this means heat has to come from above; you can't use a UTH with deep substrate). You might as well be thinking about what enclosure you will ultimately upgrade to, because your snake will outgrow a 10gal tank pretty quickly.
*Ball pythons really will make use of a larger enclosure, but it has to have lots of hiding places and cover. A 55gal tank with one hide and a water bowl isn't it.