Parents respect you when you come to them with a well thought out, well researched argument. When I was in high school, I desperately wanted a leopard gecko. My parents had made it clear that no more pets were allowed to enter the house. I put together a formal report about everything you could possibly want to know about leopard geckos, I took them out to dinner, and I presented my case.
Because they saw the effort I made to do my research and not whine and beg, I was able to get my little guy. I would recommend a similar approach for you. Show your mother your maturity. Educate her about proper ball python behavior, explain that you are committed to the life of your snake and don't take that lightly, explain the serious problems with releasing a nonnative snake in your backyard, show her exactly how you plan on keeping your snake from ever escaping. You need to make her feel like she can trust you to know exactly what you're doing.
Good luck
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