Chiming in to say it’s wholly unnecessary unless the price, which could total ~$1 Million for Grade K-12 (thinking of future inflation here) has no effect on your family, and you can keep up that payment for 12 years in a row. Then there’s the cost of college.

Shelton HS is US News Silver ranked. You could move to a district that is even better for less than the cost of private school. They [private] don’t have to provide accommodations should you son potentially benefit from that in the future.