Advice for getting a paper published as a highschooler
I'd recommend not trying to submit a paper to a journal without guidance from a more experienced academic. That academic doesn't have to be a professor; anyone with more experience with the field than you should be good.
You've contacted the professor, which is a great start. If they don't reply, you can/should also talk to your teachers. Since you're fresh out of high school, there's a good chance your somewhat novel method might be wrong, or not novel. Your teachers have been in the field longer than you, so they probably know more than you; furthermore they know you personally so they'd be more likely to look at your method. If your teachers are unable to help, you could also ask friends/family for anyone with more formal training in the field.