Honestly, if your parent doesn't want a snake in the house, my advice is to wait until you have your own place and get your own pets then.

You can list out all the reasons that having a snake is a good idea(no noise, etc) and ideas around having dead rodents in the family freezer(get a small chest freezer in the garage perhaps for things like rodents and bait if your dad likes to fish... etc). But at the end of the day, it's your parent's word that will say yes or no.